"There's nothing to say, man," Prohm said after Iowa State's 62-59 Round 1 loss to Ohio State on Friday, according to the Des Moines Register's Randy Peterson. "I want to be the best coach at Iowa State. That's it.
"My (athletic director) ... he knows that. I love this job. I'm blessed to be the head coach here, first and foremost. I love Ames. There is no story. I'm trying to be the best coach at Iowa State - see if I can be here a long, long time.
"That's it. There's nothing more to it."
Prohm succeeded Fred Hoiberg in 2015, leading Iowa State to three NCAA Tournament appearances in four seasons, but has failed to make it past the Sweet 16.
Alabama's head coaching position opened up when Avery Johnson agreed to part ways with the program, as the parties negotiated a buyout after the former NBA point guard failed to make the Big Dance for a third time in four years.
Prior to his Iowa State tenure, Prohm led Murray State to four Ohio Valley regular-season championships and one NCAA Tournament appearance. He has a 187-82 record in eight seasons as a Division I head coach.