Parrino's time in the A's organization was short-lived. Originally acquired by the club with hurler Andrew Werner from San Diego for righty Tyson Ross at the end of 2012, Parrino had a pair of stints with the A's last year but appeared in only 14 games, hitting .118 in that span.
He spent the balance of the season with Triple-A Sacramento, where he hit .210 with a .602 OPS in 108 games.
Monday's transaction brought to mind the last time an A's player was claimed by the Rangers. Adam Rosales was designated four times in 13 days in the second half last year, claimed twice by the Rangers and once by his original team. He's since stuck with Texas.
"Yeah," said manager Bob Melvin, smiling, "this kind of has that Rosie feel to it, but we'll see. Good for [Parrino]. We would've loved to have him back, but certainly for a guy to be put on their roster in that fashion, it's good for him."
Jane Lee is a reporter for MLB.com. Read her blog, Major Lee-ague, and follow her on Twitter @JaneMLB. This story was not subject to the approval of Major League Baseball or its clubs.