Owen’s current contract with the club expires at the end of the season.
Earlier this week Chelsea was linked with a move for Owen.
“Of course, it’s understandable that other clubs are interested,” said Kinnear.
“He’s a 28-year-old who has bags of ability and can score goals so there must be dozens who want him.
“He will be spoilt for choice. I think Michael is probably in the best position, better than the position the club are in. Michael can’t lose.
“I know what I would say to him if I keep the job – ‘Stay here’. But I have no idea who may come in.
“Who’s to say it won’t be Manchester United, Liverpool…anybody.”