Ramirez cleared waivers Tuesday and accepted an assignment to Triple-A Durham.
The right-hander was designated for assignment by Tampa Bay over the weekend, but he'll stick in the organization after passing through waivers unclaimed. Ramirez has made 13 appearances with the Rays this season and posted a 4.35 ERA, 1.06 WHIP and 15:10 K:BB across 20.2 innings.