It'll be important to ensure that your Apple Health cateogories are switched "on" if you wish you draw Myzone information into your overall Apple Health profile. The below steps will walk you through how to complete this:
Step 1: Open the "Apple Health" app on your iPhone.
Step 2: Select Sources found on the bottom right hand side of the taskbar.
Step 3: Within sources, click on Myzone.
Step 4: Turn all categories "on" or scroll down to enable your desired categories for Myzone to pull information on.
NOTE: The Myzone App is sharing data with Apple Health when the list features a green switch next to each category.