After Carragher began playing football with
Liverpool as an under-8 in 2011, he joined the youth academy of
Wigan Athletic in 2017. Carragher captained Wigan's under-18s as they won the
U18 Professional Development League in the 2020–21 season. He signed his first professional contract with Wigan on 4 August 2021. He made his debut with Wigan Athletic in a penalty shoot-out win over
Hull City in the
EFL Cup on 10 August 2021. He signed a new two-year contract with Wigan on 27 April 2023. Carragher joined
National League club
Oldham Athletic on 16 September 2022 on
loan until 1 January 2023. He made 6 appearances in all competitions during his loan spell. He made his competitive debut two days later in a 1–0 loss at home to
Dundee United. He made a total of 20 appearances in all competitions as the club were relegated via the play-offs. He scored his first professional career goal on 25 January 2025, heading in Wigan's opener in their 2–0 win against
Bristol Rovers. ==International career==