Elishay born and raised in
Yavne. He started playing in the youth team of
Ironi Ramat Gan simultaneously with his high school team. He has been promoted to the pro team during 2004–05 season, playing four games for the team, who played in the
Second League. In the same year, Kadir led his high school team to the national final averaging 30 points and 5 rebounds per game. In the summer he participated in the
FIBA Europe Under-18 Championship and led the Israeli team to 7th place, averaging 15.9 points and 7.1 rebounds per game. Before 2005–06 season, Kadir signed a three-year contract with his childhood club
Ironi Ramat Gan. Kadir gained some playing minutes, but didn't help the team to avoid relegation from the
2005–06 Israeli Basketball Super League. During 2006–07 season, Elishay became a starting five player promoting with his team back to
Ligat HaAl and qualifying to the
State Cup semifinals. Kadir finished his second year in the first league with averages of 7.5 points and 3.1 rebounds in 17 minutes per game. In the end of that year Kadir decided to leave Ramat Gan and signed for two years with
Hapoel Gilboa Galil. In his first year with the team they qualified to the
2008–09 Israeli Final Four. In his second year with Galil Gilboa, Kadir led the team to winning the
championship with averages of 14.2 points and 5.9 rebounds. In the end of that year he was
named League's MVP. In June 2010 Kadir signed for three years with
Maccabi Tel Aviv. Five months later he was loaned to
Maccabi Haifa for the remainder of the season due to lack of playing minutes. In the end of the season Kadir was officially released from Maccabi Tel Aviv and signed a two years contract with
Hapoel Jerusalem. In the middle of 2013–14 season Kadir left Jerusalem after the team signed
Lior Eliyahu in his position. He has signed with
Hapoel Eilat. On July 17, 2017, Kadir signed a two-year deal with
Ironi Nes Ziona. In his second season with Nes Ziona, he helped the team reach the
2019 Israeli League Playoffs, where they eventually were eliminated by his former team
Hapoel Eilat. On August 11, 2019, Kadir joined
Hapoel Tel Aviv, signing a one-year deal with an option for another one. ==Israeli national team==