Yarema played junior hockey for the Newmarket Royals of the OHL starting in the 1993-94 season. Following the culmination of the season, the team was sold to the Ciccarelli brothers and moved to Sarnia, becoming the Sarnia Sting. Yarema would play for the Sting for two further seasons before turning professional. Yarema began his professional career in 1996 when he joined the ECHL'sSouth Carolina Stingrays, for whom he played 12 regular season games, as well as a further 9 in the playoffs, helping the Stingrays to win the Kelly Cup. During the season he also played for the St. John's Maple Leafs in the AHL, playing 9 games. The 1997-98 season would see Yarema move to the Kentucky Thoroughblades also of the AHL, playing 64 games, registering 22 points. Yarema would then move to the IHL's Kansas City Blades for whom we would play for two seasons. The London Knights of the BISL would be Yarema's team for the 2000-01 season. The Knights fared well both domestically and in continental competition, narrowly losing the IIHF Continental Cup to Swiss outfit ZSC Lions, having beaten the Munich Barons and HC Slovan Bratislava in the final group stage. Following the year in London, Yarema returned to North America to play for the AHL's Houston Aeros for the 2001-02 season. Yarema stayed in the AHL for the following season for the Cincinnati Mighty Ducks, as well as playing 5 games for the ECHL's Charlotte Checkers. For the 2003-04 AHL season, Yarema played for the Chicago Wolves. The following season, Yarema initially played for the AHL's Bridgeport Sound Tigers before being picked up mid-season by the Milwaukee Admirals. Yarema then moved to Germany in order to play for DEL side Augsburger Panther. He would have a career year in south Germany, posting 23 goals and 42 points in 48 games. For the 2006-07 season, Yarema would dress for two teams; SC Langnau in the Swiss NLA, and Swedish side Rögle BK of the HockeyAllsvenskan. Slovenia would be Yarema's next port of call, playing in the capital for Olimpija Ljubljana in the EBEL during the 2007-08 season. During the season, Yarema would also ice for Olimpija's Slovenian Ice Hockey League side during the playoffs, where the team would lose in the final to HK Jesenice. Yarema would play for Olimpija for two further seasons before retiring at the culmination of the 2009-10 season.