Kwid, is also the coach of Syrian powerhouse Al Karama and Al Karama striker Ziad Chabo got both goals.
Oman moved ahead after 11 minutes as Syria defender Raafat Mohamed put into his own net.
Chabo missed a chance to equalise from the spot with a penalty but redeemed himself by pulling Syria level after 55 minutes.
The striker struck again 15 minutes from time to give Kwid a winning start.
Both nations are preparing for a series of 2010 World Cup qualifiers in June.
Oman face Japan on June 2 while Syria do battle with Kuwait.