Potter was Chelsea’s first managerial appointment following Todd Boehly’s takeover, but dismissed after less than seven months in charge.
The Blues paid more than £21m in compensation to Brighton, where Potter had impressed after leading the Seagulls to Premier League finishes of 15th, 16th and ninth in a three-year spell.
Potter, who has also managed at Ostersunds FK and Swansea City, oversaw a record £323m outlay at Stamford Bridge in the 2023 January transfer window, but success did not materialise and he was sacked following an 11th defeat in 31 games.
Asked about whether he felt he had something to prove, Potter replied: “When I hear [Pep] Guardiola say he’s got something to prove then we all have.
“In professional sport, you’ve got something to prove every day, it drives you forward,” he said.
“I’m comfortable with who I am, what I’ve done and clearly no one’s perfect, life is about taking the successes and accepting the setbacks and defeats.
“I think I’m a better person and a better coach for the experience.”
He was also linked with the England job before Thomas Tuchel, his predecessor at Chelsea, was appointed as Gareth Southgate’s successor.
In an interview with the Telegraph, Potter said club football was “more rewarding” than international management.
Potter’s first assignment will be West Ham’s FA Cup third-round tie at Aston Villa on Friday, before they return to Premier League action at home to Fulham on Tuesday.
Former Stoke City boss Narcis Pelach is part of Potter’s backroom staff, joining as first-team coach, with Bruno Saltor appointed assistant coach and Billy Reid also named first-team coach.
