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 was used as Red's first Pokémon in his battle against Giovanni at the Viridian Gym. Snor made the first attack, but Giovanni used his speed against him by having NidoqueenCounter Snor's attack, 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 its 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, Red used Snor against Blue's Charizard in the Indigo PlateauPokémon League finals, though Blue immediately switched out for Machamp. Through its 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 its 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 then recalled him.
In The Last Battle IX, Red used Snor 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.
In Red and Blue Make Purple Opponents, Snor was used 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 it being underground, fainting it. 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 it 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 it out of the fight.
In Don't Doubt Deoxys, Red used Snor during his battle against Deoxys on Five Island. Snor tried to strike the DNA Pokémon with a powerful punch, but Deoxys 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 Deoxys's Psycho Boost.
Typical of his species, Snor is very lazy, only responding to food when asleep. Despite its lazy nature, Snor is also a very powerful battler, being used in many of Red's important battles. He also possesses a great deal of physical strength, being able to even stop the runaway Magnet Train by himself.