Kissock grew up in Fazakerley, Liverpool, where he played for youth side Key Ways, alongside Lee Molyneux, John Irving and Charlie Barnett. He joined the Academy of Everton, becoming a regular player for the club's Under-18 and Reserve sides.[1] Kissock was called up to the first team for a UEFA Cup game against AZ, but remained on the substitutes' bench. In January 2008 Kissock was sent on loan to Scottish Premier League club Gretna on loan until the end of the 2007–08 season in January 2008.[2] He made his debut for the side against Heart of Midlothian in February and finished the season with 11 league appearances.[3][4]
Kissock was sent on loan to League Two club Accrington Stanley on loan for one month in January 2009, and made five appearances.
Kissock was one of many players released by Everton at the end of the 2008/09 season. After his release from the Toffees, Kissock was linked with a move to Hamilton Academical and signed on 14 August.[5] His stay at New Douglas Park was a brief one, however, when Kissock was released by the Accies on December 3, 2009.[6]