Before I forget, it was Wermacht SOP (after Anzio) NOT to oppose Allied amphibious landings with massed armor, because that armor was vulnerable to Allied naval gunfire. At Anzio, a German armored regiment sent to counter-attack the tenuous beachhead was nearly wiped out by such gunfire.
Thus, the reluctance to meet the Allies on the beaches of Normandy (or Calais) with massed, armored counter-attacks.
Three german panzr formations were in Normandy, however, and these were primarily wasted by delay: the need to get Hitler's personal permission to move, the confusion caused by the Allied airdrops, overwhelming Allied airpower and finally,the actions of the French Resistance, which prevented much of it from even being entrained and moved to the battlefield.
When the remnants of German armor did belatedly show up, it ran smack into Montgomery. the fighting around Caen was some of the most ferocious of the war, and Monty (by the skin of his teeth, and by virtue of Allied airpower) managed to emerge victorious in that battle of attrition.
And just in case I haven't said it; Thanks for your kind words.