Broken tiles could be removed and replaced by the following simple steps.
How to repair a missing roof tile.
Finally hook the nib over the batten.
Cracked or broken roof tile 1 carefully pry up the tile or tiles just above the cracked or broken one.
Also pry or force out any nails.
Lift the 2 tiles with wooden wedges.
Repairing broken roofing tile instead of replacing means that the pieces can be glued together.
Gentle and carefully slide it out and replace with a new tile.
This video will walk through the process of repairing broken.
In short you will need to replace the entire 3 tab shingle that was torn while protecting the integrity of shingles above and below the one being replaced.
Raise the damaged tile off the bottom using a hand trowel.
3 spread a small amount of roofing cement along the underside of the replacement and slide it into place.