Arlie Parker (born 1938) is a Canadian retired ice hockey defenseman who was a two-time All-American for St. Lawrence University in New York.

In Parker's senior season the Saints joined with 27 other teams to form a new conference, ECAC Hockey and finished 10th in the standings.

After easily defeating Boston College in the quarterfinals, the Saints played a very strong Harvard team and stormed to a 6–5 victory after finding themselves down 1–4 in the first period.

The championship gave St. Lawrence a fourth consecutive NCAA tournament appearance, the longest streak in program history (as of 2020).

Parker finished his final season in Canton with a second All-American selection on top of being named as the Most Outstanding Defenseman in ECAC Hockey.