Without a club while recovering from injury, he spent the latter part of the 2014–15 season with Kidderminster Harriers before moving on to Solihull Moors, with whom he won the National League North title.
[3] As a youngster he had interested Ajax, but he chose to join HFC Haarlem's youth academy, where he spent three years before the family moved to the UK when he was 13.
[4] This performance contributed to his first competitive involvement with the first team a few days later, when he was named among the substitutes for the League Cup fourth-round tie against Brentford.
[8] He was part of the Birmingham squad for their 2011 pre-season visit to Ireland, and came close to scoring in the second half of the friendly against Cork City, when he appeared to be brought down after touching the ball past the goalkeeper, but no penalty was awarded.
[9] In the absence through injury of strikers Cameron Jerome, Marlon King and Nikola Žigić,[10] Asante was named in the 20-man squad for Birmingham's Europa League match against Nacional in Madeira in August.
[13] He went straight into the starting eleven for their match the following day, away to Shrewsbury Town, and after 22 minutes he collected a cross from Lewis Young and rounded the goalkeeper to set up the opening goal for Saido Berahino.
[17] He was preferred to Žigić for the visit of Bolton Wanderers in September because manager Lee Clark wanted a striker with pace available among the substitutes if needed.
[20] Ahead of the transfer deadline, Asante joined Shrewsbury Town on loan until the end of the League One season,[21] and made his debut as a late substitute in a 2–2 draw away to Carlisle United.
[27] He returned to action in April 2014 with four goals in a development squad match against Huddersfield Town, leading manager Lee Clark to suggest he might still have a future at the club,[28] but it was later confirmed that he would leave when his contract expired at the end of the season.
[29] He made his debut as a second-half substitute as Kidderminster beat Lincoln City with a goal in stoppage time,[30] and finished his spell with 11 appearances without scoring.
[8] He then moved on to National League North club Solihull Moors, for whom he appeared regularly, as starter or substitute in about equal measure.
[35] On 9 February 2018, Akwasi was unveiled as a Tamworth player, signing an 18-month contract under new caretaker manager Mike Fowler, who suggested that Asante could help fill the void left by the departure of Reece Styche to National League North rivals Darlington.
He was not a regular starter in the 2018–19 season, and at the end of November 2018, he joined National League North club Chester on a month's loan, with a view to a permanent move.
[37] Asante went straight into the starting eleven for the match on 1 December, at home to Darlington, and scored a perfect hat-trick – one headed goal, one right-footed and one left-footed – to complete a 3–1 win.
[43] Over the next four weeks of the campaign, he played seven matches and scored ten more goals, including a hat-trick at AFC Telford United that took Chester second in the table.
[55] He scored six goals from 23 league appearances,[8] helping his side reach the play-offs, but an injury kept him out of that campaign, in which Chesterfield lost to Solihull Moors in the semi-final.