Panama secured qualification for only their second World Cup after victory over El Salvador sealed their place at the June 11-July 19 tournament, eight years on from their debut in Russia.
Christiansen retained the core of the side that guided Panama through CONCACAF qualifying, with veteran midfielder Godoy expected to lead the team alongside Pumas UNAM midfielder Carrasquilla, who was included despite suffering an injury in Sunday's Liga MX final defeat to Cruz Azul.
Veteran forward Alberto Quintero was also named in the squad after missing the 2018 World Cup through injury, while the omission of Botafogo midfielder Kadir Barria was among the notable absences from Christiansen's final list.
"We want to make history, we want to do something beautiful and improve on what we did before," Christiansen said during the squad presentation at the Administration Building of the Panama Canal.
"We need to support the 26 players chosen for this World Cup. It is a source of pride to represent this national team."
Panama will face Brazil, the Dominican Republic and Bosnia and Herzegovina in warm-up matches before travelling to Canada to establish their World Cup base camp in New Tecumseth, Ontario.
They will open their Group L campaign against Ghana on June 17 before facing England and Croatia, as Panama look to improve on their 2018 World Cup debut, when they exited in the group stage without earning a point.
Squad:
Goalkeepers: Orlando Mosquera, Luis Mejia, Cesar Samudio.
Defenders: Cesar Blackman, Jorge Gutierrez, Amir Murillo, Fidel Escobar, Andres Andrade, Edgardo Farina, Jose Cordoba, Eric Davis, Jiovany Ramos, Roderick Miller.
Midfielders: Anibal Godoy, Adalberto Carrasquilla, Carlos Harvey, Cristian Martinez, Jose Luis Rodriguez, Cesar Yanis, Yoel Barcenas, Alberto Quintero, Azarias Londono.
Forwards: Ismael Diaz, Cecilio Waterman, Jose Fajardo, Tomas Rodriguez.