Parking is not a solution. Because of induced demand, if you make it easier to take a car more people take car instead of public transport and you are back to square one in worse. Parking is also a very inefficient use of space. More than 10 square meter per car for véhicule that stay unused it build up quickly. It seems easy but it’s really not.
Sure parking + public transport outside city is not that bad. But it is more a bandage than a real solution. I work in planning in France, believe me parking is the first go to solution for decade it never worked.
We have P+R also in France, in Paris it’s called parking relais, there is 83 of them with 23000 parking spot. But even in smaller town (I live near Grenoble and there is P+R, sadly not use at is full potential because public transport in some are not up to pace, but its getting better) It is still a good idea :) hard to implement well, and it need a lot more that just parking spot to be useful.