Wendle, who started at second base on Sunday against the Houston Astros, left the game with a left hamstring strain.
He has started two games at second base and one at shortstop this season. He doesn't have a hit in seven at-bats this season but hit .300 with 33 doubles, six triples, seven home runs, 61 RBIs and 16 stolen bases last season.
The left-handed-hitting Wendle appeared in all four games for the Rays in their series against the Astros, in which they won three.
Arroyo, who is a right-handed hitter, appeared in 20 games for the Rays last season, hitting .264 in 53 at-bats.