No one can tell you for sure. It depends on the genetics of the parents. With those chickens though, if that is a true Ameraucana and not just an Easter Egger, you will get colored eggs. A true Ameraucana has two copies of the blue egg shell gene so all his daughters will get a copy. Since the blue egg shell gene is dominant over the white, all eggs will be colored. That’s the easy part. But if you get any brown eggs, he is not a true Ameraucana.
As you probably know, green is just brown in addition to the blue. There are a whole lot of different genes that contribute to the brown. Some of those are dominant, some recessive. Some of those add brown or modify the shade of brown. Some actually restrict brown. That means that even if some brown genes are present, if the right genes are present to neutralize those, you can still get a blue instead of green egg.
I really prefer the mint green eggs over the other shades. With those two you’d intuitively think you would get eggs the same shade of green or maybe lighter and closer to blue, but I think you are more likely to get varying shades of green eggs, with a possibility of some pretty close to blue if that rooster has the dominant gene that restricts brown. You may even get some more olive shaded than minty green. There is only one way to find out for sure. Raise a few pullets and let them lay eggs.