Three goals in the first 11 minutes established total control - Facundo Callioni, Juan Eduardo Garreta and Gonzalo Peillat all netting.
England did pull a goal back in the second half through Nick Catlin but the damage had already been done and they'll now face Korea in the third place play-off, after their 3-1 to Germany in the other semi-final.
“This was a lesson learnt for us," admitted Crutchley.
"If you drop your intensity and standard at this level you will get severely punished and that’s exactly what happened today against a strong Argentina side.
"I thought after the goals had gone in that we actually played well, but we needed to start better."
However, Crutchley will be without two key players for the match with Korea.
"Ashley Jackson is flying home for an operation on his ankle and Mark Gleghorne will not play following his foot injury," he added.
"It will be tough with just 16 players in this climate, but we’ll regroup and hope to learn the lessons from this."