The opening goal came from a well worked short corner. A cross from Philip Ifil was controlled by Huddlestone who drove the ball home with the help of a slight deflection.
They should have increased their advantage before the break, but couldn't get past an imposing French goalkeeper.
More chances were wasted in the second fourty minutes, but a spectacular second goal eased the nerves.
Leeds United youngster Aaron Lennon, on as a second half substitute, fed Jarvis who promptly found the top corner of the net.
England lineup:
Tom Heaton, Philip Ifil, Andrew Taylor, Tom Huddlestone, Steve Taylor (c), Ahmet Rifat, Dean Bowditch, James Morrison, Ryan Jarvis, Grant Leadbitter, James Milner.
Subs: Anthony McMahon, David Martin, Ian Ross, Stuart Giddings, Aaron Lennon, Jonathan Forte, Chris O'Grady.