Of course there is, London has multiple massive stadiums that do not require this sort of parking.
I don’t know how you could train people to get out of their cars. The whole situation is bus-ted. Perhaps there’s subway to do it, but I’m at a loss as to how.
We need some action from the bike-ameral legal system. Currently, supporters of public transit are underground, but they need to expose car-centric planning as the utter tram it is.
Why don’t stadiums have their parking in large parking garages? The traffic for exiting the stadium already sucks as it is, why not a multiple entrance/exit garage system?
Why do you ask this as if it’s not a thing?
Look up Santiago Bernabéu or Camp Nou, two of the largest stadiums in Europe, and you find no over ground parking lots. Same applies to most stadiums, with many actually being very well articulated with mass transit, to the point that it’s much quicker to just take the subway/train/bus on match day than to be stuck in traffic for hours.