Cleveland agreed to a long-term deal in April 2022 with Straw, but he hit just .221 with no homers, 32 RBIs and 21 stolen bases that year, then batted .238 with one homer, 29 RBIs and 20 steals in 2023.
The 31-year-old Leclerc went 6-5 with a 4.32 ERA and one save in 64 relief appearances for the Rangers last season. He struck out 89 batters in 66 2-3 innings and held righties to a .193 batting average.
The 31-year-old Minter has spent his entire eight-year major league career with the NL East rival Atlanta Braves, going 24-29 with a 3.28 ERA and 36 saves in 384 appearances — all in relief.