The Baggies rejected a bid from West Ham United last month for the Scot.
"He's a talent," Sneekes told the Birmingham Mail. "There's no doubt that if he continues the way he's going that eventually he will be sold because there will be bigger teams coming after him.
"He is the type of player that Arsenal would like.
"If he continues his development, I'm sure the club will look at it that he has served them greatly and they can get a big amount of money to go out and buy three or four players.
"I'm sure that will happen, although it is of course up to him to perform.
"He could have an absolute nightmare of a season and then all of a sudden no one wants to take him - that's the way football goes. But he has definitely got the talent and he'll be somebody that people will be looking at next year."