You can mirror your iron on vinyl in the prepare screen in cricut design space and if you select iron on vinyl as your material there will be a warning reminding you to mirror your image.
Cutting the wrong side of iron on vinyl.
So in the above case you d want to put that iron on vinyl shiny side down on your cutting mat to cut out your mirrored design.
Let me tell you it s not a matter of if but when you go to cut and you ve forgotten to flip your images so i highly recommend just getting into the habit of that whenever you have an iron on vinyl project whether it s necessary or not.
Because you re actually cutting the back of your vinyl if you don t mirror your image it will end up backward.
And here is the vinyl side which you can see is matte not shiny.
You mentioned the image is sticking to the iron so it sounds like you might be cutting the vinyl sheet wrong side down in the machine.
Tips for weeding iron on vinyl.
You need to place iron on vinyl shiny side down on your cutting mat then mirror the image for cutting.