Archer was born in Walthamstow. He joined Tottenham Hotspur in 2009, having previously played for Charlton Athletic. He progressed his way through the academy and signed his first professional contract in July 2011, after a loan spell at Isthmian League side Harrow Borough in the previous season. In October 2011, Archer joined Conference North side Bishop's Stortford on loan for an initial month, which was later extended until the end of the season. On 26 September 2012, Archer joined Football League Two side Wycombe Wanderers on a seven-day emergency loan. In November, he rejoined Wycombe on loan until January 2013. In December, Tottenham agreed to extend the loan until the end of the 2012–13 season. On 21 February 2013, Archer signed a new contract with Tottenham, keeping him at the club until 2015. He was recalled by Tottenham Hotspur on 29 March 2013, and made the bench a day later in the game against Swansea City, as cover for Brad Friedel. Archer was released by Tottenham Hotspur on 10 June 2015 at the end of his contract. He was signed by Millwall on a two-year contract later that month. Archer was awarded the Football League One Player of the Month Award for the month of February 2016. The same season, Archer was awarded Millwall Player of the Season Award for his performances during the 2015–16 campaign. Archer was released by Millwall at the end of the 2018–19 season. On 6 December 2019, Archer signed for League One club Oxford United on a short-term deal as cover for first-choice keeper Simon Eastwood. He made his debut for the club the following day, picking up a clean sheet in a goalless draw with Shrewsbury Town. He departed in January 2020, having played eight games in all competitions. He joined Fulham on a short-term deal on 16 January 2020.
International career
Archer was born in Walthamstow, but qualifies to play for Scotland as his mother and grandparents were born there. He has represented Scotland at U19, U20 and U21 levels, and received his first ever call up to the senior side in August 2017. He has been regularly selected for Scotland squads since then, and he made his first full international appearance on 29 May 2018 against Peru. Archer was at fault for both goals as Scotland lost 2–0.
