In 1985 the midfielder won the German A-Youth Championship and in the same year he joined the first-team squad, venturing into professional football.

[10] On the 26th day of the 1987–88 season, against his future employer, FC Schalke 04, Möller received his first and only red card,[11] but only had to sit out one game.

[13][6] He also won the DFL-Supercup with Dortmund in the beginning of the 1989–90 season, where he scored the title-deciding goal in the 88th minute of the final match against Bayern Munich.

FIFA had to provide clarification: Möller was bound by the option and had to move to Italy on 1 July 1992, for which he had to buy himself out of his contract with Eintracht Frankfurt for DM 5 million.

[18] After moving to Italian side Juventus, he won the UEFA Cup in 1993, beating out his former club, Borussia Dortmund, 6–1 on aggregate, with Möller scoring one of the goals and providing three assists across both legs of the final.

His greatest success at club level came in the 1996–97 Champions League: in the final at Munich's Olympic Stadium on 28 May 1997, and saw him once again beating a former team, Turin side Juventus on this occasion, with a 3–1 victory, providing two assists during the match, while his corner also led to the opening goal.

[25] During this time, however, there was also controversy and debate surrounding Möller, after he feigned a foul inside the opposing box in a game against Karlsruher SC on 13 April 1995, when BVB had been trailing 0–1.

The then wrongly awarded penalty led to the equalising goal (1–1), with the final score ending in an eventual 2–1 win for Dortmund.

Möller tried to justify his Schwalbe[26] (a word used for a dive in German football jargon, literally meaning "swallow" in Germany) and attacked the KSC coach at the time, Winfried Schäfer.

Reasons for this were the strong competition from players like Lars Ricken, Christian Nerlinger, Miroslav Stević and Vladimir But as well as minor injuries.

In the summer of 2000, in order to risk a fresh start, Möller decided to sign with arch-rivals Schalke 04 in Dortmund, especially since he received a well-paid offer from Rudi Assauer.

Despite criticism, he immediately became a regular there and formed the backbone of Schalke's midfield in his first year with Jörg Böhme, Radoslav Látal and Jiří Němec.

Following season, Schalke successfully defended the DFB-Pokal title after defeating Bayer Leverkusen at the final where Möller scored his team's 3rd goal in a 4–2 victory.

[6][45][46][47] Described by Stephan Uersfeld of ESPN FC as "one of the greatest midfielders of his generation",[6] Möller was a talented, versatile, and complete advanced playmaker, who was known for his unique sprinting speed - his nickname was "Turbo Möller" - combined with range of passing, creativity, vision, intelligence, and technical ability, as well as his agility, reactions, and his speed of thought and execution, which enabled him to play first–time passes; he also had the ability to carry the ball or run forward at defences while in possession.

[50] After his active career, Möller, together with other former professionals such as Dieter Eilts, obtained a football teacher's license at the German Sport University Cologne.

[51] In order to have more time for his family, he declared in February 2022 that he would not extend his contract beyond the end of the season and would leave the academy after two and a half years.

[60] The sentence was first documented in 1998 in a collage of satirical quotations from Essen's punk rock fanzine Moloko Plus and was made known in Klaus Bittermann's book Vom Feeling her ein gutes Gefühl (1999).