David Moyes is said to be a big fan of Arter, who has impressed at Bournemouth.
But the 27-year-old midfielder is determined to ignore speculation over his future, as he just wants to focus on the job in hand at Dean Court.
He said: “It was a bit of a surprise.
“I haven’t heard anything and am just going about my normal business.
“You have to ignore these things because it is the only thing you can do. I am contracted to this club and my full focus is on AFC Bournemouth.”
West Ham are expected to invest in the January transfer window, as Moyes looks to strengthen his squad.
West Ham are sat in the relegation zone, as things stand, with fears rising that they could be playing Championship football next term.
Moyes has failed to win either the two matches Moyes has been in charge for, with their next contest coming against fellow strugglers Everton on Wednesday night.