I'm new to the game, so forgive me if this is a feature and I'm just ignorant.

I think having a watch list of players you are interested in would be ideal. It would be nice if you could put anyone (free agents, players under contract, draft eligible players) in this list. This way, if you make an offer to a player (ie a CB) and that player ends up signing with another team, you already have a list of other CBs you have scouted and could make an offer to instead. This would also be good for tracking the progress of players you were interested in.

x2

I would like this feature and would use it, but I do want to point out that you can kind of do this with sticky notes right now.

There are things that you would be able to do with a watch list that are just not practical with sticky notes. A watch list page could be sortable by attribute, position, etc. and could have easy access to player pages.