Welsh goalkeeper Tony Roberts came to Carrow Road on trial in July 1998. He played for the Reserves in a 5-2 victory over Sudbury Wanderers and in a 0-0 draw with Heybridge Swifts. Tony was attracted to Carrow Road as he had worked with manager Bruce Rioch when Rioch was at Queen's Park Rangers (Tony's only other club). Tony made over 100 appearances for QPR and gained full international honours with Wales making his debut in a 1993 clash with the Republic of Ireland.
Tony opted to stay in London and join Millwall in early August 1998 with the Lions paying no fee for him under the conditions of the Bosman agreement.

Tony announced his retirement at the end of February 1999 when a surgeon informed him that if he continued playing and injured his hand again, he might lose a finger.

Sport First revealed on 20th June 1999 that Tony had joined St Albans City of the Rymans League. After a successful season in Hertfordshire, Tony moved to Rymans League champions Dagenham & Redbridge as they prepared for the 2000/01 season in the Football Conference. His form won him a call-up and a cap for the Welsh semi-professional squad in February 2001. This was repeated in May 2002 with a call up for the Four Nations tournament, mere days after Dagenham narrowly lost out on promotion to the Football League to Boston. He was called up again for the 2005 tournament.

Tony also coached QPR's goalkeepers but was suspended from this position in February 2007. He since moved to Arsenal where he coached their youth team.

On 27th May 2009, Roberts signed a further one year contract with Dagenham which includes the option an additional year should the Daggers wish to extend it. He has played over 400 games for the Daggers and was in goal when they won their League Two play-off final with Rotherham at the end of May 2010, securing the Daggers a place in League One.

Tony retired in May 2011, having made 423 appearances for the Daggers. He stepped up to become a goalkeeping coach with Arsenal's first team.

In June 2015, he moved to Swansea City as first team goalkeeping coach. In August 2016,he combined this with coaching the Wales international team under Chris Coleman. In June 2018, he followed Coleman to coach at Chinese side Hebei China Fortune. They left the club in May 2019.

He joined the cooaching team at Birmingham in October 2020 and left in June 2021 to become goalkeeping coach for Wolves. On 29th July 2023 it was confirmed that he had taken up the same role for Italian giants AC Milan after Flavio Roma’s contract expired. He will work for manager Stefano Pioli and work with goalkeepers including French international Mike Maignan.

He left Milan in 2024 and was appointed as Norwich's goalkeeping coach replacing Paul Clement on 27th September 2024. Sporting director Ben Knapper said: “I am absolutely thrilled to have Tony join us here at Norwich City. He is someone that I have known for a long time, having worked with him previously at Arsenal. He brings with him a wealth of experience at the very top levels of the game, in both club and international football. He will be a great asset for us, driving our goalkeeping programme forward club-wide. We’re very fortunate to secure someone of his calibre, and I’m looking forward to seeing the great impact he will inevitably make in our environment.”