Can I eat frozen lunch meat?

It's chicken. My mom just bought it and had it in the freezer, but must have put it in the fridge this morning to thaw it out. I made a sandwich and I used the same chicken, most of it was thawed out but parts of it was still frozen and was sticking together. Is it okay if I eat it a little frozen or does it have to thaw out before you eat it? I don't want to get sick :\