Pickett reportedly signed on to a four-year, $8.3 million deal with a guaranteed initial three years.
Gambino takes over after 13 years as the head coach at Boston College.
Sturtz spent three seasons at Penn State as a forward from 2015-18.
The team announced the jersey numbers of its 2023-24 roster Monday, which includes 15 athletes.
The Nittany Lions will open the season against Le Moyne at Jeffery Field.
Gambino served as Boston College's head baseball coach from 2010 to 2023.