The fire ignited at the migrant accommodation in Forges-les-Bains, south west of Paris, in the early hours of Tuesday morning, reported to BFM TV.
Interior Minister Bernard Cazeneuve said on Tuesday afternoon that all possible light will be shed on the matter to determine whether the fire was started voluntarily.
“If this hypothesis is confirmed, everything will be done to quickly arrest those behind this abject act and bring them to justice,” he said.
The building, which was set to house 90 migrants when it opens in October, had proved to be highly contentious in the local community.
The night before it was burned, authorities had held a meeting about the centre while around 100 locals protested outside.
These protests continued until around 11pm, BFM TV reported, and just hours later the building caught fire.