I get it: if the sun is up, that's a good reason to trade Pau. He's never going to be a "real Laker" for a lot of fans for a long list of reasons that are at best stupid and at worst racist. But it's still fair to ask if Pau can play with D'Antoni.
To which I ask: did anybody actually watch Spain in the Olympics? Because I don't remember Spain playing grind-it-out ball against the second-best collection of basketball talent in the history of the game in the gold medal game.
Pau Gasol isn't fast, but he can make better decisions on the run and in the flow of the game than almost anybody you can name who isn't Steve Nash. D'Antoni's offense isn't so much about running and gunning as it is about taking advantage of the opposing defense before it sets up -- which is exactly what Spain did against the US in the Olympics, with Pau playing center.
Pau is our steadiest player in all aspects of the game. Kobe may be our steadiest scorer, but it's also clear that Kobe gets Kobe-lock sometimes and forgets that there's a team around him. Pau never forgets. He's a stabilizing influence whenever he's on the floor, and in a frantic game he will always be the player who hits the cutter or the open man.
Nobody other than Nash will make the transition to D'Antoni's system easier than Pau will, and that will directly translate into a couple of wins at least between now and the end of the year. If you really want to see run-and-gun basketball then by all means trade Pau. But if you want the Lakers to have a shot at title at the end of the year, he's one of the last person you should want to push out the door because you're never going to be able to replace him.