The self-styled "universe boss" has not yet announced his retirement but is unlikely that he will play for the West Indies who have failed to defend their title this edition.
Gayle, a left-hand batsman who can bowl off spin, has amassed over 12,000 runs including 27 centuries in white-ball cricket since he made his debut in a one-day international in 1999.
He has also played 103 Tests, scoring 7,214 runs at an average of over 42 and a highest of 333.