The previously introduced method, called Zeros Matching Method (ZMM) is generalized in order to extend the desired patterns from only Chebyshev to any symmetric ones. Also, the desired patterns can be either sum or difference type. Some comprehensive examples are given to verify the effectiveness of the introduced ZMM method. Desired patterns in these examples are Chebyshev, Taylor, Cascade, and Stepped as sum types and equiripple as a difference type.