The 1814 Treaty of Paris, which the new Bourbon king Louis XVIII had to accept in order to take power, reduced France to its borders as of 1792 - and this treaty was replaced after the Battle of Waterloo by the 1815 Treaty of Paris, which reduced France to its borders as of 1790.
France had ceded control of Louisiana to Spain in the 1762 Treaty of Fontainebleau. Since France retook control of Louisiana from Spain only in 1800, this meant the Bourbons were bound by their treaties and could not reassert a claim to the territory.