Yes and no.Does the color of egg the chick hatches from have any bearing on what gene they carry?
The color of the egg tells what color eggs are laid by the mother of that chick.
The chick inherits genes for eggshell color from both its father and its mother, and looking at what color eggs the mother lays will tell you a bit about the genes that mother has.
But that does not tell which genes the chick actually inherited, from the set of genes the mother has.
If you are trying to breed for blue eggs, yes you want to use roosters that hatched out of blue eggs. If you use a rooster that hatched from a white or brown egg, you can be sure that he did NOT inherit the blue egg gene from his mother, because she does not have that gene (if she had the blue egg gene, she would be laying blue or green eggs.)I thought I had read some where to use roosters that hatch from blue eggs?
So using a rooster who hatched from a blue egg is a way to be sure he had a chance of inheriting the blue eggshell gene from his mother (some chance rather than no chance.)