Omer Asik and Houston Rockets can mutually benefit if he stays

for Rockets
Many argues that Asik's role will be reduced in the playoff because  other teams adapt and they play smallball. It doesn't matter, winning  the title is.
against spurs
Tim Duncan is still great but he won't be able to play 48 minutes in a playoff series, eventually he has to take a breather and subbed by Tiago splitter. Rockets, however  will have its paint protected for 48 minutes nonstop. Asik also can own Tiago Splitter.
against Heat
We already knew how Splitter dissappeared in the finals and Heat made a run when he was on court. Rocket won't have the problem when Howard sits on the bench.
They can still flip Asik  in 2014 free agency with a stretch forwad like Kevin Love, Chrish Bosh or even Lamarcus Aldridge.  In order for such a trade to happen  rockets have to do two things
1.They have to win 2013-2014 title.
2.They have to develop Asik's offense so he can be  competent two way players.

For Asik, the second reason will  benefit him  greatly. He and dwight Howard are already scheduled  to train with Hakeem olajuwon  in the offseason. If he plays his card right, he could demand Mchale to allow him to take more shoots and do more post ups. Mchale has no reason to reject the demand. Last year asik averaged double-double and showed his ability to score everytime harden went down. Howard will also be there to rebound Asik's misses.
Playing with Howard won't hurt  asik's to get his next big contract. He can exercise his player option in the third year and  go to a team where he can start. He then just will have to prove his value as a starte again .
Things that will up Asik Value  when he hits free agency
1. Championship pedigree by winning a title with Rocket.
2.Competent offensive game. In my opinion Asik can be worth $ 11 millions if  he can  hit his hook shoot consistently. The offense will really matter, because  he will be 29 when he hits free agency in 2015

Would Morey be forced to trade Parsons?

Dwight Howard is  80% in the bag,  Darryl Morey  still has to deal with another headache. How to trade Omer Asik/ Jeremy Lin? Portland has acquired  Robin Lopez.Hawks the most potential trading partner has just acquired Paul Milsap which   make it unlikely for Morey to dictate the term of Josh Smith trade. Frankly, i don't think Hawks needs Asik anymore.
Pelicans has an interesting piece, in Ryan Andersen. Problem is,  Pelican's outside shooting is suspect. Trading away Ryan Andersen for Omer Asik. doesn't make any sense at all. Unless Rockets add Chandler Parsons to sweeten the deal 
Another possibility is sixers,  Rockets has suspiciously managed to trade  Royce White and Furkan Alder to them.  Is it a prelude to Omer Asik trade?

Omer Asik can help Demarcus Cousins Grow as a Franchise Player

1. Asik can be on court together with DMC at 4. When Asik needs to rest, DMC plays Center. No other team can afford the rotation of two starter quality centers.
2. DMC's weakness is his suspect defense. Asik has  a fundamentally strong defense. it's pretty self explanatory
3.Kings  will have the luxury of benching DMC every time he pouts .Kings  can send a message to him "if you don't give your 100% on the court, we will just bench you and can still win
4.If  there is one thing that can be learnt from King's last year campaign,was that DMC loves to win. When  Kings started to win after to allstar break,  DMC  restrained himself  on the court and  played to his full potential. But after  heartbreaking lost, like the one to Denver Nugget,  He reverted to his old self and didn't care at all. If next Season Kings have asik, in  a game  after a heartbreak, the  team  can hold the fort for as long as it takes for DMC to realize that team is leading.
5.There is a misconception here,  Asik is an offensively limited player, but it doesn't mean he can't score. Last season Asik averaged more than 10 points, more importantly  his roll to the basket improved as the season progressed. It's possible that next season his offense can take a leap, especially in a team that plays inside out.