The moves were announced Thursday, an off day for Texas.
Rangers catcher Geovany Soto is eligible to be activated from the disabled list Friday before the opener of a weekend series in Houston.
Gimenez went on paternity leave Monday, and remained on that list for the maximum three days.
The Rangers have 10 days to trade, release or outright Gimenez to the minor leagues.
In 34 games over two stints with Texas this season, he hit .262 with 11 RBIs.