First of all, what is Quartz? It's a mineral, probably one of the most common materials on earth. Quartz is very hard and scratch resistant and thus makes a great work surface. If you are considering a quartz countertop for your kitchen, here are some things to consider. 
This is one advantage of engineered quartz countertops over natural countertop materials, such as granite. Granite countertops are limited by the naturally occurring colors found in nature. Quartz counter tops, however, come in a wide variety of colors. 

The engineered quartz counter top material also tends to be more forgiving to work with. In other words, it is easier to cut and less likely to break. 

So, a quartz counter top is an excellent choice for kitchen remodeling or new kitchen design. Is it right for your kitchen? It depends on your tastes and budget, as do so many things in life.