http://talk.collegeconfidential.com/discussion/comment/20848514/#Comment_20848514 lists a small number of US universities that require or expect calculus in high school for frosh applicants. It does not look like calculus as a requirement, recommendation, or expectation is that common for frosh applicants to US universities.
The OP may still have to be careful to check for schools which may want to see four years regardless of level of achieved, or a math course in senior year, or some such requirement or expectation even if the student has completed precalculus, as the OP’s student will in 11th grade. That is in addition to checking whether taking calculus or statistics in 12th grade may affect how much math the student will have to take for a university’s quantitative reasoning requirement.