Can new cabinets be installed with old floor tile cutouts?
Are you ordering custom cabinets? If so yes they can be mad to fit. If ordering premade cabinets. If the cabinet is larger the tile can be cut to allow the cabinet to fit. If the premade cabinets are smaller molding can be added to hide the gaps matching grout colors is almost impossible. Depending on the size of the kitchen the above choices may save a large amount of $.