Gree card through marriage. Can I partition for my Mom who is oversea?

You need to become a US citizen before you can apply for your mother. There is also family based GC process available. But that might take years. You could rather wait until you become a citizen and then apply for your mom which would be faster.
 
There is also family based GC process available. But that might take years. You could rather wait until you become a citizen and then apply for your mom which would be faster.

There is no mechanism for a Permanent Resident to petition for his or her parents, fast or not.
 
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