But speaking on Thursday ahead of the Cherries' Premier League home clash against West Brom, Howe said: "I'd rather be linked doing something right than the other way, but my only focus is winning with Bournemouth.
"I am loyal. I love the town and I want to continue that association for as long as possible."
Specifically on the link to the Gunners role, he added: "It's meaningless. I don't want to hear it. I don't need to hear it. I just want to win games.
"It's very hard to predict the future. If you try to then you come unstuck. In football management, you live week to week.
"You turn a blind eye to speculation and anyone that tells me about it I believe it is not meaningful and it doesn't help me get results for this club."