Teams can train at Jeffrey Field and stay at the Penn Stater Hotel.
Nzeh will be searching for his third program with two years of eligibility remaining.
Rust became the sixth former Lady Lion to find a new home this spring.
Penn State fell in overtime despite holding a three-goal lead in the fourth quarter.
The Nittany Lions land a top defenseman in college hockey.
While the Mets have not announced whether Hagenman will get the start or relieve the starter, he is the only fully rested pitcher available on the roster.