You see the Problem there? The Americans only fought properly against the Germans starting at the same date as you stated above, so they still lost 20.000 tanks and armored vehicles to the Germans 2,200+
The United States Army was in heavy combat with the Germans in Africa from May 1942 until the total German defeat in that theater in May 1943 (during which period the Germans lost ~2500
tanks (not including other armored vehicles like TDs and SPGs like the 20,000 figure for the Americans) bringing the total to 4700+) and in Italy from September 1943 until May 1945 (I can't find a listing of German vehicle losses in this campaign, but they are known to be very heavy considering the Axis lost ~336,650 dead and wounded in the campaign.) This campaign, in fact, was why the 76mm Shermans were left behind on D-Day - with no long sightlines to deal with, the German armor was being destroyed with great ease, and analysis of the wrecks from the campaign (along with data from the Soviets, who also found the German tanks to be very poor and dangerous only because of the famed German tactical skill) lead to live-fire exercises against plates of the same thickness and angle. These tests showed that all Allied guns could easily handle the Tiger and the (expected to be rare) Panther due to an oversight - the Americans favored a relatively soft steel for their armor plate to reduce the risk of spalling (the harder steel is, the more brittle it becomes, causing deadly shards of metal to fly around inside the vehicle if the armor is hit hard enough (often without even penetrating - the British High Explosive Squash Head round was designed to take advantage of this), which is one reason why the US tanks (the Sherman in particular) had an average of .37 tankers killed and .57 wounded for every vehicle knocked out when the German standard was 2-3 depending on type. A fairly comprehensive explanation of this test, and a later one after combat conditions didn't match up, can be found beginning
here.
That doesn't count tanks destroyed by the Japanese, lost in transit due to U-boat or air attack, and even with an entire campaign on the Western front and the entirety of the Eastern Front, we're far past your blind assertion that the Germans lost only 4000 tanks.