Allen, who was designated for assignment by the A's on April 9 upon Daric Barton's reinstatement from the disabled list, was claimed off waivers by Tampa Bay on Thursday.
"I went back and forth with him a bit the past week," Melvin said. "I'm happy for him, and that's really the way I should look at it. He's such a great person. You wish the best for people like that, not only good people, but guys that work so hard and are great teammates. Really, he's a talented guy. He just needs a chance to settle in somewhere and work through some struggles."
Allen served as the A's Opening Day starter at first base, but went hitless in seven at-bats over three games following a busy spring campaign that saw him hit .314 with two home runs and 14 RBIs in 14 contests. The 26-year-old was acquired by the A's from Arizona at the Trade Deadline last year and, according to Melvin, "seemed happy" about his new home.
The Rays, it seems, are more than happy to have him.
"I heard he's a great guy," Tampa Bay manager Joe Maddon said. "I heard he's an 80 makeup guy, which is the highest grade you can give an athlete."