Kid’s college choice, at least as a traditional student (whether or not 18 years old yet), can be almost 100% a decision by the parent(s). However, most parents are not that authoritarian, at least within the limits of financial affordability (although financial affordability based on parents’ financial circumstances and choices is the main constraint on most traditional students’ college choice) and admission / financial aid / scholarship results.
It does not look like the OP intends to be that kind of authoritarian parent.