Career
Moschonas began playing professional football with AEK Athens F.C. in 2009. On 1 January 2010, he went on loan to Elpidoforos to gain experience. At the end of the season. he returned to AEK. At the end of 2012-2013 season, AEK was relegated and Moschonas left the club on a free transfer.
On 7 August 2013, he signed for newly promoted Fostiras in the Football League.
On July 2014, he signed for Levadiakos in the Superleague (Greece 1st Division).