Yes, in principle the ovaries are intact and functional after a hysterectomy. Many women continue ovulating after having their uterus removed.
Nevertheless, if the woman was not ovulating regularly due to advanced maternal age or if she has PCOS, the quality of the eggs collected may be less viable. This could be improved with fertility drugs given to produce multiple eggs.
Read the full article on: How Does the Egg Donation Retrieval Process Work? ( 63).

Andrea Rodrigo
B.Sc., M.Sc.
Bachelor's Degree in Biotechnology from the Polytechnic University of Valencia. Master's Degree in Biotechnology of Human Assisted Reproduction from the University of Valencia along with the Valencian Infertility Institute (IVI). Postgraduate course in Medical Genetics.