"We met three coaches of high rank."

Translation: Ni renkontis tri trejnistojn de alta rango.

[BradfordBowman]

Would "altajn rangajn trejnistojn" work here?

[mihxal]

altrangajn trejnistojn

[mizinamo]

That would be "high, rank-related coaches" rather than "high-rank coaches".