Rodriguez allowed one hit and struck out two across a scoreless inning to record a hold Thursday against the Guardians.
Rodriguez (3-4) allowed one earned run on one hit and one walk to take the loss Sunday against the Padres.
Rodriguez earned the save in Tuesday's 3-2 win over the Mariners, allowing a hit and striking out a batter over a scoreless inning.
Rodriguez picked up the save over the Athletics on Wednesday, striking out one over a perfect ninth inning.
The Rays recalled Rodriguez from Triple-A Durham on Tuesday, Ryan Bass of Bally Sports Sun reports.
The Rays optioned Rodriguez to Triple-A Durham on Monday, Tricia Whitaker of Bally Sports Sun reports.
The Rays recalled Rodriguez from Triple-A Durham on Friday, Ryan Bass of Bally Sports Sun reports.
The Rays optioned Rodriguez to Triple-A Durham on Tuesday, Marc Topkin of the Tampa Bay Times reports.
The Rays selected Rodriguez's contract from Triple-A Durham on Monday.
The Cubs traded Rodriguez and Adrian Sampson to the Rays on Tuesday in exchange for Josh Roberson, Sahadev Sharma of The Athletic reports.