"I'm not one of these never-never people, but I think as a whole, it's time to turn the page and move forward and get to things we need to do."
The Angels are also in the process of trying to re-sign free agent Mark Teixeira and if that doesn't happen they may turn their sights to Ramirez, the Dodgers free-agent, Moreno said.
"He single-handedly took L.A. to the promised land," Moreno told the radio station about the former Red Sox left fielder whose Dodgers lost to the Phillies in a five-game National League Championship Series. "He did a heck of a job, he hit great, he was a fan favorite, he did a great job with their young players. At the end of the day, you want people who can hit, and he may be one of the top right-handed hitters ever."
Rodriguez set a single-season Major League record with 62 saves last season. He also added a 2-3 record and a 2.24 ERA.
The Angels, though, lost a first-round playoff series to the Red Sox for the second consecutive postseason, and by then K-Rod seemed to be out of gas.
After the 2007 season, the Angels tendered Rodriguez a three-year, $34 million offer, but it was rejected after the Yankees signed Rivera to a three-year, $45 million deal.
The Angels join the Cardinals, Mets, Rays and Indians in searching for closers. Trevor Hoffman of the Padres, Brian Fuentes of the Rockies and Brandon Lyon of the D-backs are among the closers on the free-agent market, which opens in earnest on Friday.
Moreno said the Angels would offer Rodriguez arbitration on Dec. 1 to reserve the possibility of compensatory first-round and sandwich picks in next year's First-Year Player Draft. He also said the Angels would undoubtedly go into the market for another closer via trade or free agency.
Teixeira batted .358 with a .449 on-base percentage, 13 homers and 43 RBIs for the Angels after a July 29 trade from Atlanta. If he signs elsewhere, Manny, who hit .396 with 17 homers and 53 RBIs in 53 games after a July 31 non-waiver Trade Deadline deal with the Red Sox, could fit in nicely.
"That's a question for Mike and Tony," Moreno said, referring to Angels manager Mike Scioscia and general manager Tony Reagins. "For us, Manny hits. He's a clutch guy.
"He did a great job with Boston, and he did a great job with the Dodgers. Some people just hit, whether they're 30, 32 or 37. And I think he's better fitted for the American League because we have the designated hitter."