Not sure if this is what you're looking for or not... I think you have to be in Commissioner mode to do this, but try this:
1. Go to the manager dropdown. It's at the top in-between GAME and the abbreviation for your league, maybe MLB or something like that. (The Manager drop-down would have the header of the manager you created at startup. So if you created Joe Schmoe, then it would read J. SCHMOE.)
2. From the manager dropdown, click on
Act as... and select the team that you want to sign the player or players.
3a. If you want to sign a single player to the team you've selected in #2 above, hover over that player's name, right-click, and select
Sign Player from the menu.
3b. If you want to sign multiple players to the team you've selected in #2 above, click the radio buttons at the left of the names of the players' to be signed. Once you've selected the ones you want to sign, then hover over any of those player's name, right click, and then select
Sign Players from the menu.
4. You'll then get a pop-up telling you that you have signed the player(s). Click OK.
Go back to #1 and select a different team if you wish to repeat this process for other teams. When you're done, you can go back to the Manager dropdown and select
Act as... and choose
None.
Hopefully this helps. Good luck!