According to the NFL Network, the Rams received calls on Cooks. They did not call around shopping him.
The Rams (McVay I'm assuming) said he needs to find more and better ways to get Cooks involved, he is important to what they are trying to do.
Lastly, his 12m became guaranteed the same time as Gurley's, so he is not going anywhere.

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Don't waste your time looking back, you're not going that way. - Ragnar Lothbrok