if you find that his typical practice is heavily influenced by the Latin Church, you could gently suggest (at least in your case) that the rite be celebrated in a way more typical to the Byzantine heritage.
Christ is in our mist!!
Don't you think it is more than a little arrogant to suggest to the priest how to conduct the Mystery of Confession? The priest has gone to a seminary--a house of formation--to learn to do exactly what he is accustomed to do. If his formation was heavily influenced by Latin practice, it may be that he is an older man whose formation was in an earlier time. In any event, I would never think to tell a priest how he ought to conduct the Mystery. I have confessed to priests who have had different practices and have, in each case, followed the priest's gentle lead.