The lad has ambition. If the likes of Arsenal, Spurs, or Everton are interested, he will be guaranteed first team action at those clubs, which will improve his development. Using Sturridge as an example, before he went to liverpool, the consensus was that he was a poor man Danny Welbeck. Now that he moved he to Liverpool and has gotten plenty of game time, the majority believes he is better than Welbeck. If Welbeck moves to one of these clubs, it will only benefit his career.
I rather have him stay, because he is a better partner to Rooney and mata than Van Persie. Moreover he improves our football aesthetic. However, Van Persie would probably not be drop and as such, Welbeck will likely be feeding of scraps unless one of our strikers are injuried.
If he leaves, I would love watching him under Arsene Wenger at Arsenal. He would fit the sexy football they play their.