I have a dog that has literally destroyed a couch, a door (yes, an actual hanging door!), TWO recliners and numerous small things. He's one of "those" dogs! But, he's so doggone cute, and I knew what I was getting into, so I couldn't be mad. He's a boxer and all this was done before he was one. Boxers are bad to chew when they are young, and this guy didn't get training like he should.
He got into a bag of batting I had that fit the quilt top perfectly, and ate a hole in it, literally ate, I never found the piece! I did what others are saying, cut a square, used basting spray and once quilted it was fine.
I still have to be careful with him. He's twice had to have things removed that he's swallowed! He will eat literally anything. Just today , I took a pop can from him, happily chewing away in the driveway.