He also criticised BBC presenter Dan Walker for giving Mr Hancock "an easy ride", and urged the Health Secretary to end his GMB boycott to face "some proper questions".
Senior members of the Government have refused to appear on GMB for the past nine weeks following a series of segments where Morgan clashed with ministers over Covid-19 policies.
Speaking to the camera, Morgan raged: "What could be a more important bit of data than how many people are being tested?"
Speaking on BBC Breakfast about releasing testing data earlier, Mr Hancock said: "It just doesn’t add anything to the battle against coronavirus.
"It doesn’t help people to know what to do at a local level because we are several months into this fight.
"The meaningful figure is how many tests are being conducted, where they’re being conducted and where the positive test results are."
Responding to the comments, Morgan said: "What could possibly be more important? And then you pretend it’s meaningless."
He added: "‘It’s utterly shocking. Get back on this programme and face some proper questions."
Morgan previously labelled the health secretary as "pathetic" for not answering the questions of GMB viewers and claimed he was denying his audience necessary information about the virus.
He said: "He’s not coming on the programme. It's the nine-week anniversary today since the boycott of Good Morning Britain.
"He will be talking to other programmes and we will be monitoring those and asking supplementary questions on your behalf.
"He doesn't think you, the GMB viewers, have any interest in hearing from him... well done Health Secretary, again."