Can antibiotics increase the risk of parasite infection?

Not generally. Generally not, but confer with your doctor regarding where you will be traveling to, and what infections you are most concerned about.
Parasites/antibiotic. We live in a precarious balance between bacteria, viruses, and parasites.. The balance serves to keep the deleterious elements in check and allowing us to thrive. By disturbing the bacterial balance in the body through the use of antibiotics, we run the risk that fungi and parasites may them thrive unchecked. Risk of infection by an unchecked element is one of the factors doctors in prescribing.