The 20-year-old Academy graduate, who has signed a one-year deal with a further 12-month option, missed close to five months of last season with a hamstring injury before finishing the campaign on loan at Shrewsbury.
Asante netted once in three starts for the League One club, the same ratio recorded during a previous loan spell at Northampton, while he has banged in the goals for Blues' reserve side.
But it is with Lee Clark's first team where Asante is looking to make an impression next term.
"I'm very happy, I'm delighted to have signed my contract, it's going to be my seventh year and I'm really looking forward to next season because it's a big season ahead," he told Blues Player.
"Young players have got that extra bit of hunger and a lot to prove, like myself, I'm really hungry for next season. I can't wait.
"I try to use whatever I've got and if that's good enough, it's good enough. I'm quick, strong and I can score goals.
"Pre-season starts in three weeks and I can't wait to be honest. I've been doing my programme, my running, and making sure I stay fit and ready to go on June 24.
"The aim next season is to get games and score goals, it's about scoring goals and making an impact. I'm desperate for games, I'm really ready to work hard and show the manager what I can do."