The answer to this really depends upon whom you consider to be French and what you consider to be an invasion rather than a raid. The Norman conquest in 1066 was somewhat French, at least it caused the French language to become the lanquage of the rulers and eventually merge with the Germanic and Norse languages of old England into more modern English. There were notable invasions by French in 1216 and 1338 but these amounted to attacks on single cities before being driven off. There were raids during the 14th century. The last sizable invasion was in 1545 that briefly (one day) captured the Isle of Wight on the southern coast.

The main thing these invasions accomplished was to create a national consensus among the English that they were going to have the biggest and best navy around so that no one could invade their island. Despite numerous attempts by European powers, the English maintained this dominance for centuries.

The Norman conquest of England began on 28 September 1066 with the invasion of England by William the Conqueror, Duke of Normandy and his victory at the Battle of Hastings on 14 October 1066 over King Harold II of England. Harold's army was badly depleted in the English victory at the Battle of Stamford Bridge in Northern England on 25 September 1066 over the army of King Harald III of Norway. By early 1071, William had secured control of most of England, although rebellions and resistance continued to approximately 1088.