hello can we use balance transfer chase card to transfer the balance to checking account? Or balance transfer is only from one credit card account to another credit card? simply i have hard time to understand what is balance transfer?

Yes, Chase (and other major Credit Card companies) have that option to either transfer balance from another loan/credit card or provide you cash, which you can use in whatever way you choose.

This will give you more insights into balance transfer and the things need to be careful about doing balance transfers:
http://www.creditcards.com/credit-card-news/help/9-things-you-should-know-about-balance-transfers-6000.php

supesixnine i am also interested in chase slate card, if i got limit 10,000 can i transfer that amount to my checking account because they offer 0 fee for balance transfer with in first 60 days.
I need cash not credit.....

Not all balance transfer offers from Chase allowe depositing money into the checking account. If you login into your chase credit account and go through balance transfer offer, it will show you whether you can deposit the amount into a checking accout or you can only pay other credit card balances.

Balance transfer is only to transfer from one credit card to another credit card. For eg., if you are paying 12.99 APR on Bank of America cr card, you can balance transfer the balance on the card ( $10,000) and avoid incurring interest by balance transferring to 0 APR cards like chase slate, chase freedom, Amex blue card, capital one platinum to name a few. Chase slate provide 0 APR and $0 balance transfer fee, while chase freedom and Amex blue provides $200 or $300 (I don't exactly remember) fir first $500 you spend. And capital one is only for about 9 months 0 APR and then after high interest rate.

Yes, most of the companies ask you either you want them to pay your cr company or they will ask if you want them to write you the check and you will pay. But I am almost certain that you will have to tell them account number of high APR card to verify that you are not lying. They are not writing you check like that ;). And I don't think they will write you the check of entire cr card amount. For eg., $10000 out of $10000.

 Hope this helps.

Sorry, but I think you can have them write a check to you.