Greetings Gebre Menes Kidus,
I don't know the authoritative answer to your question, but will relate some of my experience. I commune at a "Chalcedonian" church and have in the past visited a "Non-Chalcedonian" monastery from time to time in the southern California desert. Abba Bishoy (memory eternal), a Coptic bishop/priest/abbot, of St Anthony's Monastery personally advised me (and some of my Egyptian college mates at the time) to read the Philokalia (yes, the very blue book edited by Sherrard et. al. he had in his hands) and to practice the Jesus Prayer. I have continued to do so for about 13 years since that time, and it has been most helpful.
Lord have mercy