Ask your landlord, or the managing agent about seeing the Rules.
Have a look at your lease and see what it says about access to make repairs
(bear in mind that the language may distinguish between "new" capital works,
programmed maintenance (eg painting), "handyman" type work, and bona fide emergency repairs).
Going only by what you have told us so far, missing facts missing
and unstated ifs buts and maybes not allowed for,
I don't see how you can claim compensation for mere temporary inconvenience
arising from work on the common property that is both urgent and necessary.
That said, you may be able to negotiate something directly with the landlord or the agent
as a matter of good will.
For example, you could ask them about temporary exclusive use
of what would usually be a visitor parking space.
In the alternative, you might ask about a period of "rent credit" for the loss of use of the space.
I don't see you getting any kind of cash.