I don't know what you would consider a "large number", but american men did marry german women after WW2. This was initially discouraged by the US military as "fraternisation with the enemy", but the policy was soon relaxed. Americans were immensely popular in post-war Germany, as they were seen as rich and offered a way out of poverty and even starvation.

I found german-languages secondary sources that mention 20.000 marriages until 1949. That source also claims that in many cases - especially if the father was black - no permission to marry was granted.

Other sources mention 15.000 marriages and up to 200.000 children born out of wedlock. The federal statistics office counts around 100.000 children born to a german mother and an american father.