Mourinho worked with Arnautovic briefly at Inter Milan and is interested in bringing him to Old Trafford following his impressive second half of the season with the Hammers.
Last week, Arnautovic admitted he was flattered to be linked with the Premier League giants.
"It's nice to hear, I haven't heard anything from my brother, my agent," he said.
"You can keep asking this question but you'll never hear the answer from me."
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