"Me and my agent, we are going to try to do it Monday," he said.
Favors was ejected with 24.8 seconds left after he was called for his second offensive foul on back-to-back possessions.
He underhanded the basketball across the court, in the general direction of the Dallas bench.
Replays show the ball flew over the head of a ballboy sitting along the baseline. It was caught by an unidentified person sitting next to the last player on the Mavs' bench.
Jazz officials could not determine if the person was a fan or someone associated with the Mavericks.
"I don't know, man," Favors said. "You just have to deal with it. I was surprised. I mean … I was surprised."
Fined for the first time in his career, Favors learned a lesson from the incident.
"When the referee calls a foul," he said, "just walk away from it."
Jazz coach Tyrone Corbin called the situation "… unfortunate. It was a mistake, I thought. He didn't intend to throw it in the stands. But that's what the rule is. I didn't realize the fine was that [heavy], but it is what it is. You have to move forward."
Harris unfazed by trade rumor
The Jazz played Minnesota without Josh Howard, who remained sidelined with a strained quad.
Point guard Devin Harris played, however, after missing Friday morning's practice with the stomach flu.
Harris became the subject of trade rumors late Thursday night, after ESPN reported the Jazz were shopping him.
Asked about his name being linked to possible trades, Harris shrugged.
"Been there, done that," he said. "Don't really control it. Don't really think about it. I've got to go out there and focus on what I have to do tonight. … You just can't control it so you can't worry about it."
Corbin downplayed the idea that the team is shopping Harris, who scored one point and was 0-for-7 from the field in the loss to Dallas.
"For young guys, it's a little bit disturbing and some guys take it personal," Corbin said. "But it's just part of the business. As long as it doesn't come from us, it's just part of the business.
"There's so much media out there now. So much Twittering and all the social stuff going on, a guy can have a conversation with somebody and it takes a run on its own. You just have to understand that's part of the business."