Here's 7th Army's November 42 line up:

Order of battle (15 Nov 1942)
At the disposal of the 7. Armee
257. Infanterie-Division (army reserve)
LXXXIV. Armeekorps
320. Infanterie-Division (Cotenin)
716. Infanterie-Division (Caen area)
165. Reserve-Division (Forming near Epinal)
319. Infanterie-Division (Channel Islands)
XXV. Armeekorps
709. Infanterie-Division (HQ Cherbourg)
17. Infanterie-Division (HQ Quimperle)
182. Infanterie-Division (forming from 182nd Division Number) (HQ Cassel)
333. Infanterie-Division (SW France on Coast below Brittany pennsula to Vichy France border)
343. Infanterie-Division (HQ St. Malo)
346. Infanterie-Division (still forming near Bretange)

This army is at about its lowest point strength-wise in late 1942. 6th Panzer, 161st Inf Div, 379th Inf Div were all pulled out and shipped to the East front near the beginning of the month to shore up AGC in particular. The remaining units are not the best.
709 and 716 are two regiment Bodenstande divisions of dubious quality. 165 Reserve and 182 Division Number are just stood up units built on staff HQs manned by overage and physically unfit officers. They are at partial strength.
Only the 17th Infantry is really a good unit at this time. It gets pulled in December and shipped East too.
The 319th is on the Channel Islands and worthless for a fight in France. It would take forever to get it back to the mainland and Hitler would not readily give the islands up as we know.
The best 7th AOK could do initially is send the 257th taking about 48 to 72 hours to arrive along with pulling portions of some of the other divisions out of the line and sending them peicemeal to oppose the landing.

You can see the German defenses really are weak in France at this time. Stalingrad and the Soviet winter offensives are started and the OKW is focused on the East front. Alamein has occured a month earlier and Rommel is reeling. The remaining 4 panzer divisions in France 7, 10, 26, 27 are only marginally ready for combat. The 10th went to N. Africa historically where it was destroyed. The 7th and 27th went to Russia. The 27th was destroyed in about 6 months operations there and not reformed. The 26th went to Italy where it fought for the rest of the war. All four have a mix of late model Pz III and Pz IVG tanks. There are no Panthers (not in production yet) or Tigers (all in the East except 1 battalion in N. Africa) available at all.