If you already have the software since it's no longer available for download unless you put up a request with oracle support, else you can take a look at the installation steps below. See: http://docs.oracle.com/cd/B19306_01/install.102/b14316.pdf
Just use the OUI, and post the problems encountered along the way.
Can i instal 10g
As others have said, 10g software is obsolete and can only be gotten by submitting a service request to Oracle support. Which requires a support contract.
client enterprise edition
"enterprise editition" (or any other "edition) applies only to the database software, not the client software. So do you need a database, or just a client stack to access a database?
on windows-7 32/64 bit version ?
IF (and that's a big "IF") you can get the software you want, it will be either 32 bit or 64 bit. Windows comes in either 32 bit or 64 bit, though I'm not sure why, since you can't get 32-bit hardware anymore, unless it is someone unloading distressed (old) inventory.
So your reference to "windows-7 32/64 bit version " is somewhat confusing.
If yes can you please let me what needs to be done ?
Really appreciated if someone help me out ASAP.
We all would appreciate help ASAP when we need it. This is a forum of peer volunteers.
All in all, perhaps if you described exactly why you want 10g and not something that is under support, if you really want just the client or the database, and what you are trying to accomplish, we could all give you better advice than merely telling you how to drive toward a bridge that is out.