Oswalt said Friday he would waive the full no-trade clause in his contract if Houston wants to try to shop him this season - though the right-hander insists he would like to stay with the Astros and help them win.
"I'd love to win here," Oswalt said. "I just pitch every five days. There's nothing I can do about it. It's a business, and that's part of it."
Houston went into Friday night's game at San Francisco with a four-game winning streak, but still had the worst record in the National League at 13-21.
First baseman Lance Berkman also has said he would be open to a trade. Manager Brad Mills said he had spoken to both players and didn't seem concerned about it being a distraction.
"They're fine. They enjoy it here, they want to be here. Both of them are playing absolutely outstanding right now. It was very light, very short, nothing in-depth," Mills said of his talk with Oswalt. "He didn't think it was all that big a deal."
Oswalt is 2-4 with a 2.63 ERA and has struggled to get run support this season. He next pitches Saturday against two-time Cy Young Award winner Tim Lincecum.
"If a team comes up to you and asks for a trade, that's pretty much saying they want to go in a different direction," Oswalt said. "Who'd want to say no to a team that asks you to be traded? If they came to me and wanted to go a different direction, I would listen."
As long as he would go to a winner, Oswalt said he wouldn't be picky about American League or National League, East or West.
"We went through the same thing last year. They asked me a question, I answered it. Until they get ready to do something, all you can do is pitch. Hopefully we can stay on this roll and start winning series," Oswalt said.
The 32-year-old Oswalt originally made his comments to Sirius XM Radio on Thursday night.
The pitcher doesn't question whether the Astros are committed to winning.
"Lately we've always got that guy to help us get over the hump," Oswalt said. "I don't know what they're leaning to do. I know that the owner's a winning owner. He don't want to lose. I'm sure they'll sit down and see what they want to do before the deadline. We've always been competitive."