Kyle looked to build on two separate loan spells at Rangers by joining Swansea City on a permanent basis in 2012.
The centre back was promoted to the first-team squad in the summer of 2012 but competition was fierce with the likes of Thomas Vermaelen, Per Mertesacker and Laurent Koscielny ahead of him.
Kyle, who moved to Arsenal at the age of 16, spent the 2011/12 season on loan at Ibrox after another spell the previous campaign.
The centre back made one first-team appearance for Arsenal under Arsene Wenger, starting against Olympiacos in the Champions League in 2009 alongside several of the Club's youngsters.
He also spent time on loan at Sheffield United during the 2009/10 and 2010/11 campaigns.
A former England youth international, Kyle captained the reserves and won the FA Youth Cup with the Gunners in 2009.
