Turned off Find My but didn't sign out of Icloud on old device when resetting

Hey everyone!

I recently upgraded to a new phone and I turned off my Find My Iphone on my old phone but didn't sign out from Icloud manually and then I erased all content and settings. By doing this will it sign me out of Icloud automatically on the old phone?

I checked icloud.com to see my devices and all I see is my new phone there, so does that mean I dont need to worry about my old phone?

I am also trading the old phone in at my carrier's phone store if that is information that is needed.

Thanks