 Demetriou made the step up to the Football League, joining League Two side Shrewsbury Town on a free transfer following the expiry of his Kidderminster deal, on a two-year contract on 3 June 2014.He scored the winning goal on his debut, against Tranmere Rovers on 16 August 2014, and subsequently scored on two further occasions that season, an injury-time equaliser in a 2–1 win at Carlisle United, and a consolation against Northampton Town, as Shrewsbury lost by the same score and ended an unbeaten home record in the league.Demetriou was a first-team regular Playing in the leftback / left wing back role as Shrewsbury won promotion back to League One at the first attempt, and also getting through to
the 4th round of the Capital One Cup.