Can ovarian cysts that appear and leave on their own cause infertility?

No. Can be a sign.: The most common ovarian cysts that "come and go" are follicular or corpus luteum cysts and these don't cause infertility, but frequent follicular cysts can be a sign of reduced ovarian reserve (lower egg numbers and quality). Some cysts that don't go away on their own, like endometriosis cysts, may indicate reduced fertility. If a cyst needs surgical removal the surgery may reduce ovarian reserve.

Generally not: Most ovarian cysts are follicular or luteal cysts that develop from a follicle, which is the cyst that contains your egg cell. These come and go and do not cause infertility though they may delay pregnancy a few months. Some cysts such as endometriomas may be associated with infertility.

No. : These would likely be normal corpus luteums and it is good to have them because it means you are ovulating.