Umm, it will, in the
offspring. Granted that he is a REAL Araucana (which is very unlikely) he'll have both genes for blue eggs, meaning. . .
Him x brown egg layer = green egg layers
Him x blue egg layer = blue egg layers
Him x white egg layer = light blue egg layers
Him x dark brown egg layer = dark olive green egg layers
It is likely he's just an Easter Egger though, so your chances for green egg layers from any crossing are 50% or less. You're likely to get brown or green eggs, but some do have blue egg genetics, but blue still requires either blue or white to reproduce the color.
The hens he is with will not change their egg color though. This is for the offspring, not the hen.
If one animal mated with another, the other doesn't obtain the male's genes and tranform.