Lion is OK to do anything with and yes you can own it.
Tiger, different matter I "think". I would check with US fish and wildlife. I do think you can sell them. Last summer I went to an auction, huge one, of the estate of a very prominate big game hunter. The sale was advertised in the paper for weeks and the auction held on city property in Fort Worth. There were two tiger rugs for sale at that auction, both in pretty bad shape but nevertheless tiger rugs. They sold both of them. One would think if it was illegal someone would have noticed and called the Feds.
Judging from that auction I would say yes you can sell them. Never hurts to check with the right source though.
Good luck and come back when you find out.
BTW I know somebody that might like to buy them when you get them priced.