I was thinking about this and how this is simply Putin sowing discord in the US. I believe he does that a lot.
In one sense, I feel responsible when I react to these things. That is what Putin wants. He wants us fighting over whether Trump and Putin have some sort of arrangement, whether Trump is compromised, etc.
But ultimately this is all on Trump. By never standing up to Putin, he opens the door for all of this.
If Trump isn't compromised, I simply don't understand why he doesn't tell Putin to f' off when Putin says things like that. After all, it doesn't present Trump in a good light. But, for whatever reason Trump never does that. It might just be that Trump is so enamored with Putin's flattery. The only thing we know for sure is that Putin plays Trump like a fiddle.
(Also note that I am operating under the assumption that Russian state TV does in fact speak for Trump.)