The Canaleros had gone into their third game, against England, already eliminated after back-to-back losses in their first two games. Although they sometimes looked strong on the counter-attack, the Central American side ultimately lost 2-0 to the Group L leaders, following earlier 1-0 defeats by Ghana and Croatia.
"I need time to analyse all that has happened, the six years in Panama," he told a press conference when asked about his future as manager.
"I have to talk to many people, especially my family who has suffered because of my absence.
"Panama has been very strong in defence ... but you have to remember which teams we were playing. Today was particularly difficult, it was tough, England pressed intensely."
Christiansen has overseen 94 matches in charge of Panama, winning 45 and losing 27.
"We stood very well on the pitch in the first half and we didn't give them too many opportunities to play in the middle, it was more on the outside. I am proud of how the team played under my direction. Although we played well, we didn't get points, we didn't get goals," Christiansen added.
"I think if we had games like this every month, well of course we would get better with that intensity, that speed."
"We had hoped to get some points but it didn't work out. We couldn't manage it for this World Cup, it was a shame, but the important thing is we recover and we are ready for what comes next."