American Eagle, which operates short-haul flights for American Airlines, says that is cutting about 100 management and support jobs as it pares costs during a bankruptcy reorganization, the Associated Press reported yesterday. The regional airline plans to save $7 million a year with the layoffs, which would trim nonunion management and support staff by about 10 percent, including about 15 percent of executive officers. Eagle and American Airlines are owned by AMR Corp., and all three filed for bankruptcy protection in November. Eagle, which has about 14,000 workers compared with 73,000 at American, wants to cut annual labor costs by $75 million, with more than two-thirds coming from union pilots and flight attendants. Eagle has been negotiating concessions with its unions since March 21.