After appearing two matches as unused substitute bench, Carrington finally made his debut for Wrexham in a league match away to Alfreton Town, coming on as a substitute on 86 minutes for Johnny Hunt, the reds lost 2–0 on 21 September 2013. His first start came the following Tuesday at the Racecourse Ground, in a 2–3 loss to Braintree Town. Carrington established himself in the first team, playing in the right–back position, throughout the season After 10 good performances for Wrexham, he signed a contract with the Dragons for the remainder of the 2013–14 campaign. Carrington then scored his first Wrexham goal in a 2–3 loss to Alfreton Town on Boxing Day 2013 and his second Wrexham goal later came on 19 March 2014, in a 2–0 win over Hereford United. Carrington went to finish 2013–14 season, making thirty–nine appearance and scoring two times in all competitions. At the end of season awards, Carrington was named as player of the season and signed a two–year contract with the club on 20 May 2014.