"Variant of Demetrius"
The name Demetric is commonly a male name from the "Greek" origin.
Demetric is an English variant of Demetrius, the Latin form of Greek Demetrios, a name built on the name of the goddess Demeter. The ending -ic in place of -ius marks it as an English alteration of that same name rather than a separate root. Related English forms include Demetria, Demetrice and Demetris.
Demetrius means "Covering of earth, Of Demeter, goddes of fertility. The masculine form of Demetria.".
The pronunciation of Demetric is dih-MEE-trik.