The 24-year-old midfielder asked the Gunners for a season-long loan in a bid to rediscover his top form following a poor run of injuries.
England international Wilshere opted to join Bournemouth for the 2016/17 campaign and his decision is one of bravery according to Cherries boss Howe.
"Coming to Bournemouth is a brave decision by Jack," Howe claims.
"He is testing himself to the extreme because we won't have an easy ride this year and he will have to roll up his sleeves and fight.
"We're not Arsenal. We're not going to dominate the ball in our position and it won't all be about free-flowing, attractive football. And he's aware of that.
"Arsenal were happy to go along with whichever club Jack chose but the key thing for him was that he wanted to stay in the Premier League.
"He made his decision based on what he knows about us and he deserves credit for that. And when he looks back in a year's time, hopefully he will see this as a major turning point for his career."