I just wouldn't risk it.... at least not without first ascertaining that the locals are friendly.

If this is an area where "outsider parking" is deemed to be a problem then it's likely that the locals will be hostile. If they are all nice peaceful law-abiding people then the worst that will happen is that they will report your car as abandoned and look on in glee as it gets towed away. If they're NOT all nice peaceful law-abiding people you could end up with your tyres slashed or other acts of vandalism.

Even when all residents are united in wanting parking restrictions it can sometimes take up to a decade to get those restrictions through, so you could be dealing with some very fed-up and frustrated people who have been pushing for parking restrictions but are still waiting for something to be done.