Gonzalez's future at the Falcons has come under speculation recently due to their poor start to the season, with the 37-year-old believed to be keen on one final playoff campaign in what is likely to be his final year in the NFL.
The Chiefs have made an unbeaten start to the season and have emerged as candidates to sign Gonzalez, who spent 12 years with them before moving to Atlanta, and Flowers admits that he would love to reunite with his former teammate once again.
"That would be all the way up to Tony Gonzalez if he wants to come back to Kansas City," Flowers told Fox Sports Radio.
"I'd love to have him back here. That's one of the guys, he was definitely a pro. He definitely taught me how to be a pro in this locker room. He's just a great guy to have on your team.
"You can ask anybody that ever played with him. So I would welcome him back with open arms."