The former Manchester United defender was appointed as Tigers boss last summer and led them back to the top flight as Championship runners-up in his first season in charge.
He has since overseen a promising start to their survival campaign, with Hull currently sitting 10th, and full-back Rosenior has highlighted the integral role that Bruce has played in the club's recent rise.
"What he's done for this club, in just a year pretty much, it's been a massive transformation," he told Sky Sports News.
"He's great tactically, we always know what we're up against and I think he should get a lot more credit than what he gets.
"If we keep performing well, as players you get noticed and as a manager you get noticed."
Hull travel to Southampton in Premier League action on Saturday.