I could take players who think they have made it by playing for us because they at least would be enthusiastic. The players I don't want are the ones who have had their crack at the big time then "settle" for a big wage and easy ride with us. For every Digne, there are Schneiderlins, Gibsons, Delphs etc.. I want them ambitious, as you say, but I want them committed for the time they are here even if they have one eye on a move in the future.
It's why I worry about the chatter regarding Hojbjerg, if he doesn't want to be here we shouldn't want him here.