"Blend of Da and Quan"
The name Dayquan is commonly a male name from the "American" origin.
Dayquan is a modern American formation built from the Da- prefix and the -quan element found in names such as Daquan and Jaquan. Names of this shape appear in United States birth records only from the late twentieth century, and Dayquan itself is first recorded there in 1988. It has no documented history in an older language or naming tradition, so the meaning of the two parts is a matter of form rather than of inherited etymology.
The pronunciation of Dayquan is DAY-kwahn.