Avi Rikan was born in 1988 and joined the Beitar Jerusalem youth department in 2000 where he stayed until going on loan to Maccabi Herzliya for the 2007/08 season. In 2008/09, Beitar again loaned out the midfielder to Hapoel Petach Tikva where he made 30 appearances. Beginning in 2009/10 and until his move to FC Zurich in 2013, Rikan would become a mainstay in the Jerusalem lineup where he would play in 121 matches while scoring 15 goals. He would also win the Toto Cup in his first full campaign with the club in 2010.

Rikan joined FC Zurich from Beitar Jerusalem at the start of 2013/14 and in his first season won the Swiss Cup. In two seasons in Switzerland, the left footed midfielder who can also play as a wing-back made 50 appearances scoring 10 goals and adding 8 assists.

On July 23, 2015 Rikan returned to Israel signing a three-year contract with Maccabi Tel Aviv and his impact was felt almost instantly during the club's run to the UEFA Champions League Group Stages for the 2015/16 season. He brilliantly assisted on Eran Zahavi's first goal in the Champions League first leg playoff match in Basel where his free kick pass inside the box gave Maccabi a 1:0 lead. He played in 5 of the club’s Champions League Group Stage matches and has appeared as both a defender and midfielder for the Yellow & Blue. His first goal for Maccabi came in November 2016 at Hapoel Haifa and he ended the campaign with 2 goals and one assist in 41 matches.

In 2016/17, Rikan’s second with the club, he made 28 appearances, recorded one assist and scored 3 goals including one at Maccabi Haifa on Matchday 34.

The 2017/18 season was a successful one for the midfielder. Making 52 appearances across all competitions (33 league), Rikan scored 9 goals (6 league) and added 3 assists. During the course of the campaign he also signed a new contract with the Club.
At the National Team level, Rikan played for both the Under-17 and Under-21 squads while making his first senior team appearance on February 6, 2013 in a friendly against Finland.