Since that is asphalt, I don't think that you will get the paint off without having some discoloration of the asphalt along with asphalt bleed due to the stripper, it might make a bigger mess.
One option that is done is getting some sealcoat and just sealcote that parking space. It will look brand new black and will stick out but it will probably be better than the discolored parking space that the stripper might cause.
Sherwin Williams makes black parking lot striping paint that will cover that space no problem and you can just roll it on and throw away the roller, don't waste the time cleaning the roller.