Who cares?
The appropriate response to the White House is "Who Cares?" The House doesn't need the White House's permission to proceed, to consider, to investigate, or to vote. Apparently the president has never read the part of the Constitution related to impeachment and its highly likely that Rudy Giuliani hasn't either. Article I, Section II, Clause 5 is very clear on that point. Very clear.
But all this push back makes you wonder. If the call to Ukraine was so "perfect," then what's the problem? If the (12 minute) transcript of the (30 minute) call is all there is then what's the problem? How many of you, being innocent of an accused crime, wouldn't work like hell to get your story out in the news while under oath to clear your name?
Eventually it will all come out, all of his dealings with Putin and the Russian and Ukrainian mob long before he got into politics, long before he decided he needed money to bail out his failed New Jersey casinos, and long before he built not one but two Trump Towers - beautiful towers, no doubt - in Turkey, the leaders of which are no doubt wonderful people with whom to do business, even in times of war.