Ah I see, well if you wanted to go for a more random-based game I think that could be possible. But then I think you'd want to draw more inspiration from idle games; so that the player's gameplay is about being a football manager (so getting all the cards together, making trades, etc) then the matches can play out relatively quickly WITHOUT any player input. That could be a way towards having the core RNG remain (if I understood you right).
I think the main issue with the RNG right now is that the game is saying "actively play" by making me click to reveal cards but if my expectation is set up to be "this part is totally out of my control", then that issue falls away.
In other words it's all about setup and expectation. The current version made me feel like I was a player drawing from a deck. But if that expectation is shifted to being a manager creating the deck, then it could definitely work. Football manager games are popular with a particular niche, after all.