What you can do, is buy or hire a parking garage that already exists. This is possible of course, but expensive. Think 1/3rd of the cost of a family car (either as monthly rent, or as purchase price).
Then factor this into the price you have to pay to own a car, why does everyone need to subsidise car owner's parking?
And if you force the government to inefficiently reserve street space for cars, society has to incur the same costs, except non-car owners are forced to unfairly subsidize car owners by bearing those costs.
There is always land available to buy, €10k per square metre for this property for example: https://tranio.com/france/adt/1928891/
Maybe that's too much to park your car, but land has a cost, why should a car owner be allwoed to store their property on public land for free? Can I build a shed in that space instead?
I can not buy land outside the city to park my car. I can not afford a second car payment to rent a monthly spot. City parking is really my only option to avoid taking public transit and risk getting and spreading COVID.
You didn't need to buy a car and avoid taking public transit to risk getting and spreading COVID. Likely every single one of the places you've gone by car have been more risky than taking the train or bus.
Multiple research articles have found no link between public transport and the spread of COVID, even when looking at places like Seoul and Tokyo where transit use is much higher. The risk of catching COVID is higher at the grocery store than on a bus.
I sympathize with why you thought you needed to do that and I genuinely hope you will dispose of the vehicle once the pandemic is over. Humans are terrible at evaluating risk, and people's sudden impulse to buy a car when that's not where the risk lies is an example of this.
Are you really suggesting that 7% of Chicago's entire land area be given away for free to car owners -- because if everyone owned one car you'd need 1.7 million square feet to park them. That's in addition to the space used for those cars to move around which is at least as much.
If you don't own a car, how can you claim your free space?
Or are you only complaining about on-street parking?