Fans of the book recently began a campaign to see Bomer replace Charlie Hunnam as Christian Grey in the upcoming movie adaptation.
The Magic Mike star thanked his fans for picking him as their preferred choice, but suggested that Hunnam will be good in the role.
"I'm so grateful for the fans and touched," he told Entertainment Tonight.
"I'm looking forward to seeing the movie with Charlie and Dakota."
Video: Charlie Hunnam Digital Spy interview
Hunnam and Dakota Johnson landed the lead roles in Fifty Shades of Grey earlier this week. It will be directed by Sam Taylor-Johnson based on Kelly Marcel's script and EL James's best-selling novel, and will open in cinemas on August 1, 2014.
Matt Bomer's US series White Collar will return for a fifth season on the USA Network on October 17.
Photo gallery - Charlie Hunnam's career in pictures: