Red first met Snor in Wake Up—You're Snorlax!, where he was blocking the Route 12, which was being used for a bike race. Red managed to wake Snorlax up with some Beedrill honey that had dripped onto Saur. After this, Snorlax chased Red all the way to the goal of the race, where he was then caught by him.
In Golly, Golem!, Snor battled Giovanni as Red's first Pokémon at the Viridian Gym. Snor made the first attack, but Giovanni used his speed against him by having Nidoqueen Counter Snor, before flinging the heavy Pokémon through the wall and out of the Gym. As Giovanni switched to Golem, Red decided to have the ricocheting Pokémon bounce his way out of the Gym so Snor could attack, but Giovanni made use of Snor's Headbutt shattering Golem by pummeling Snor with Rock Throw and then fainting him with Explosion, revealing that he had planned this from the moment Red sent Snor out.
In A Charizard...and a Champion, Snor battled Blue's Charizard in the Indigo Plateau Pokémon League finals, though Blue immediately switched out for Machamp. Through his four arms, Machamp easily blocked all of Snor's limbs and prevented him from attacking. The Superpower Pokémon then effortlessly lifted the Sleeping Pokémon with his four arms, spinning him about with Submission before slamming him onto the floor, which cracked under Snor's weight. After Snor hit the ground, Red secretly had him use Harden in anticipation of Machamp's Karate Chop. However, Blue saw through Red's trick, and had his Machamp attack the ground instead, using a piece of shattered debris as a lever to catapult Snor into the air and out of the battlefield. Just as Snor was about to be disqualified for going out of bounds, he plummeted down from mid-air and crushed Machamp with a combination of Double-Edge and Toxic. Realizing Snor had taken heavy damage, Red recalled him.
In Jigglypuff Jive, Snor, alongside Saur and Gyara, were called out to battle Lorelei, Bruno, and Agatha. With the power of the Badge Energy Amplifier, the Elite Four's Pokémon do a combination attack of Ice, Fighting, and Ghost powers, knocking the three out.
In Forretress of Solitude, Snor participated in Red's Pokémon Association test for the new Viridian City Gym Leader. Red started off having Snor use Belly Drum, which caused the Pokémon Association's Forretress's Spikes to rebound and hit Forretress. Snor followed up with a Mega Punch, knocking the Bagworm Pokémon out. The next opponent was an Azumarill, who promptly used Whirlpool to trap Snor. The Sleeping Pokémon used Rest inside the vortex, and quickly attacked with Mega Kick as soon as the whirlpool dissipated, knocking Azumarill out. He was the switched out for Vee.
Snor with Emerald's Snorlax
In The Last Battle IX, Snor helped to stop the Magnet Train that had broken out of control while the Gym Leaders of Kanto and Johto were fighting members of Neo Team Rocket inside of it. With Snor's incredible strength, the train was brought to a halt just before it hit a dead end.
Snor appeared in a fantasy in Rayquaza Redemption II, when Sapphire explained to Ruby that the accomplishments of Red and his team inspired her to train to battle.
In Red and Blue Make Purple Opponents, Snor battled alongside Gyara in a Double Battle against Blue and his Golduck and Porygon2 at Ultima's "Path of Battle". Blue started the battle by having Golduck use Iron Tail and Porygon2 use Tri Attack on Red's Pokémon. Red then counterattacked with Gyara's Body Slam on Porygon2 and Snor's Strength on Golduck. As Blue was getting further ahead, Red had Gyara attack Golduck with Hyper Beam, and the Duck Pokémon escaped underground by using Dig. Red countered by having Snor use Earthquake, which dealt double damage on Golduck due to him being underground, fainting him. The attack also damaged Porygon2, but Gyara avoided any damage due to being part Flying-type. Blue then switched to Scizor and Machamp, with Scizor dropping Machamp at Snor, allowing him to perform a Seismic Toss on the Sleeping Pokémon. Before Snor could react, Machamp attacked him with Low Kick, which dealt massive damage on the heavy Pokémon and took him out of the fight.
In Don't Doubt Deoxys, Snor battled Organism No. 2 on Five Island. Snor tried to strike the DNA Pokémon with a powerful punch, but Organism No. 2 changed into its Defense Forme, not budging an inch from Snor's attack. Seeing his opponent's incredible defensive capabilities, Red had Snor draw back. Snor was later nearly killed along with Red's other Pokémon while defending his Trainer from Organism No. 2's Psycho Boost.
In Distant Relation Deoxys and Storming the Forretress, Snor was seen joining Red's other Pokémon, Blue's Charizard, and Chuchu to take down the ten Forretress that Carr had placed inside the Team Rocket airship.
In Epilogue, Snor was seen interacting with Emerald's Snorlax in the Battle Frontier following Guile Hideout's defeat.
Snor appeared in a flashback in All About Arceus IX, when Hirō explains that he based Proteam Omega off of Red's team after watching him train on Mt. Silver. It was also revealed that Snor and Emerald's Snorlax had produced an Egg, which Gold had agreed to hatch.