Franklin, who came to Auburn for the bowl game last season from Troy University, coached six games for the Tigers this season and one last season.
He replaced Al Borges, who had coordinated the offense since the 2004 season. Borges was fired as offensive coordinator following the 2007 regular season.
Auburn, which is 4-2 overall and 2-2 in the SEC going into Saturday's home game vs. Arkansas, has struggled on offense this season. The Tigers are averaging 309.2 yards per game on offense. They managed just 208 total yards in a 14-13 loss to Vandy on Saturday evening.
Tuberville said on Wednesday afternoon a decision has not been made on who will call the plays this week.
The Tigers are scheduled to have their third of four practices for this week's game on Wednesday evening.
"After evaluating where we are at this point of the season offensively, I felt it was in the best interest of the Auburn football program to make this change," Tuberville said.
"I'm not satisfied with where we are and I am personally going to take a larger role with the offense the remainder of the season. We are going to work harder than ever to make sure we consistently improve as we move forward."
Franklin cleared out his office late on Wednesday afternoon, said goodbyes and told Inside the Auburn Tigers he did not want to comment on the situation.
At Wednesday evening's practice, Steve Ensminger served as quarterback coach. Tuberville said he has not made a decision if that will remain the same the rest of the season. The former NFL player has been offensive coordinator at three colleges and was coaching receivers this season for the Tigers.
Another Auburn assistant, Eddie Gran, has also coached quarterbacks in college. Gran is Auburn's running backs coach and also handles special teams.
Tuberville also said, as he mentionedd on Tuesday, that he likes the spread offense and is committed to it.
"We are not changing offenses," he said. "This is a good offense. We just need to try to get better at it."