Conor joined the Cork City U19 squad for the 2014/15 season and remained with them through to 2017. He also played against Liverpool's Development Squad in July 2015 but didn't make his senior debut until 18 April 2016 when he came on as a substitute in the 58th minute of an EA Cup tie against Waterford United at Turner's Cross. Conor scored his first senior goal 12 minutes later as City won 7-0.

Conor's league debut came two months later on 24 June 2016 in a 0-0 draw with Shamrock Rovers at Tallaght Stadium and he made 2 league appearances that year, scoring once, in a 5-0 win over Wexford Youths on the final weekend of the season.