"Last week I was going to run a team, this week I going to apparently run for Senate, and next week I'll be an astronaut", Manning said in March at a business conference.
"We have not had any political discussions with Peyton Manning", Scott Golden, the Tennessee Republican Party chairman, told USA Today.
Peyton Manning may just be in the running for the U.S. Senate in 2018.
Shortly after Corker's announcement, Republican Rep. Scott DesJarlais suggested that Manning could be the right fit to take his place, in an interview with Business Insider.
The veteran Republican added that if Manning made a decision to run, his popularity would propel him to a victory in the 2018 race for Tennessee's open U.S. Senate seat. Bob Corker announced he would retire at the end of his term. During Corker's first campaign in 2006, Manning gave Corker $2,100 in both the primary and general elections.
Asked if she would consider running for Senate, Blackburn told reporters Tuesday afternoon, "I don't know". "Is it likely? I don't think so". However, he downplayed speculation that Manning's entry into the political world is imminent.
Manning's wife, Ashely, bought a share of the NBA's Memphis Grizzlies in 2012, and the quarterback is scheduled to be honored at halftime of the Tennessee-Georgia game in Knoxville on Saturday for his selection to the College Football Hall of Fame.
If Alexander does decide to retire and Manning runs for his seat, Manning may have the backing of the 77-year-old Republican senator.