I wouldn't trade Perkins for him, but I would trade for him. Though that means you'd have to include JO, Davis, or Robinson.
I'd consider something like Oden and Fernandez for Robinson and filler. Leaves the C's a little light at PG, but I do like Fernandez's potential and then you can control the rights to Oden.
And really I think given both Perkins and Oden's injury histories, having both in split time would extend both their careers. Not sure I'd want to do the Q.O. with Oden, but just extending the Q.O. doesn't mean you have to sign him for that, maybe you make the offer and then sign him up long term, something like 5 years, 35 million or 4 years 30 million with a team option on the fifth year. Yeah it is a lot of money, but if you trade for him then you can control his rehab and will know how he is progressing and if it is really worth it. Just waiting and signing him as a free agent, you don't have near the knowledge. Also, I think there is a very good chance he ends up in Miami. They need a center and they are the type of team that can take a flyer on him given the rest of their team. I really don't want Oden in Miami or even worse on the Lakers.