"I definitely think it's the ideal situation," Garrard told SiriusXM NFL Radio.
No offense to incumbent Mark Sanchez, Garrard said, but he feels he can win the starting job if he plays up to his potential. If not, he'd be content as a backup, he said.
Except for the past two seasons, he's always been healthy and he's "feeling healthy now," he said. "I just don't want to go out as an injured player."
Garrard, 35, worked out for the Jets last Thursday, and he believes he aced the audition. He met with Rex Ryan and offensive coordinator Marty Mornhinweg, and he even bumped into Sanchez.
"It was a great workout," Garrard said. "Every drill they had me do, I did great in. I felt like my old self again. They loved what they saw."
The Jets didn't immediately offer him a contract because "they have a lot of issues with the cap," Garrard said, "so they really couldn't do anything at that time. That's kind of unfortunate because I don't want to have to sit here without a job."
A source close to the situation told ESPN last week that the quarterback "anticipates putting a deal together" with the Jets once those cap issues are resolved. A source told ESPNNewYork on Sunday that the team has kept open the lines of communication with Garrard, but no deal is imminent.
A New Jersey native, Garrard has not played in a regular-season game since 2010 with the Jacksonville Jaguars. He spent last offseason with the Miami Dolphins and was in contention for the starting job before injuring his knee during training camp. He didn't land another job after his release from the Dolphins.
"I don't have anything to prove to myself. I know I can play," he said. "I'm not ready to be done yet when I can get out there and move around. It's unfortunately these last two years I've had these injuries that really weren't football injuries, because I didn't get hit and get hurt."
Garrard, a longtime starter for the Jaguars, has thrown for 16,003 yards with 89 touchdowns and 54 interceptions in 86 career games.
"I'm not ready to be done yet," he said, adding, "I'm tired of sitting and watching on my couch."
"I want to go out and win ballgames. I've been watching for the last few years unfortunately and I've been watching some not-so-good quarterback play out there and I know that I can still play and I can play at a high level," he said. "I want to get back out on the field and show myself that I can stay healthy and help a ballclub, really."
Information from ESPN NFL Insider Adam Schefter was used in this report.