Hi, as I can't post link now. So I paste the steps here for you and those like you wanting to hide Skype Status on Android.
Step 1: Find the Skype app on Android Phone and sign in as usual.
Step 2: Head to the menu section, and tap the menu button.
Step 3: Find the “Available” on the Profile section. Switch the button that next to Available and turn off it. If you can see the button’s color turns gray, it marks that you are successful to hide your Skype status.