Firstly, sorry if this has been already been suggested/disccused, couldn't find anything with search using English keywords.
Currently the game chat is only visible if you have the menu UI visible (main menu or the mini menu while in game). This is quite annoying especially in multiplayer, as you can't see others talking with you unless you know to check it.
My suggestion is to allow toggle a transparent version of chat UI ingame (both single and multiplayer) so you can have it always visible. Similar to like how most multiplayer games implement this. I get it that there are some who don't like it, that's why I suggest it as toggle.
