This is a broad question, because the factors that influence the life cycle and seasonality of parasites and their hosts vary widely according to the type of host, type of parasite, and the ecological niches of both. The following paper is a good start:
One of the main factors is the seasonality of the intermediate host (e.g. vector) or parasite proliferation. For instance, malaria has a peak of transmission during rainy season when ecological conditions are favorable for mosquito proliferation.
If human has a preferred period for certain activities that allow him to be in contact with the parasites, the infections will occur at that period. It may be entering parasite ecosystem, contact with water or agriculture, etc at specific seasons.
Host-parasite preference/specificity with respect to a season is multifactorial. In agreement with Karamoko, vector abundance during a particular season and host proximity is among the many causes. You could take a look at the life cycle of guinea worm and seasonal influence on the spread of this disease. It could help.