Mizell was slightly late for spring training due to the birth of his second son in 1962. In his first start of the year, he defeated the expansion New York Mets, limiting them to one unearned run over seven innings. That was his only win through May 7, as he posted a 4.96 ERA in three games (three starts). On May 7, he was traded to the Mets for Jim Marshall, much to the chagrin of Pirates fans and players, with whom Mizell had been popular.