Font, who was designated for assignment by Los Angeles on Monday, has yet to join the A's.
"This is a guy that the front office has talked about before," A's manager Bob Melvin said. "He's got a big arm, and not only is he potential relief but he's potential start, so we're always trying to have as many guys in the mix as we possibly can."
Font, 27, was 0-2 with an 11.32 ERA in six relief appearances for the Dodgers this season. His opponents hit .383 against him, and he allowed five homers, most among Major League relievers. In 14 career big league appearances between Texas and Los Angeles, he has an 11.42 ERA.
The right-hander has nine Minor League seasons under his belt, posting a 3.61 ERA while averaging 10.62 strikeouts per nine innings in that span.
Treinen good to go A's closer Blake Treinen, who was struck in the right shin by a fierce line drive Tuesday night, was walking around pain-free Wednesday and deemed himself ready for action. Melvin confirmed as much.
"When I went out there, I knew he was going to come off the mound, and I was just hoping that there was no fracture," Melvin said, "because that hit him really good. So for him to be available is terrific."
"That was pretty hard off my leg," Treinen said. "Really, last night, the issue was it whacked my nerve or something, because my leg went kind of numb for a while, and I didn't think it would be smart for me to not have my best on the mound. Today, I can move [with] no issues, it's just tender to the touch.
"Thankfully it didn't hit any bone. In the moment, a little disconcerting, but right now I'm thankful it's nothing serious."
Jane Lee has covered the A's for MLB.com since 2010. Follow her on Twitter @JaneMLB.