These are some of the certifications available for flooring professionals / listed by type:

Carpet
Carpet Installation Certification & Training – offered by Certified Flooring Installers (CFI)
Natural Fiber Installation Certification – offered by NFIC they train and certify Installers, Inspectors and Sales people on Woven & Tufted Wools.
Ceramic Tile
Education & Training for Ceramic Tile – offered by Tile Council of North America (TCNA)
Ceramic Tile Installation Certification & Training – offered by Certified Flooring Installers (CFI)
Cleaning & Restoration
Carpet Cleaning & Restoration Certification – offered by Institute of Inspection, Cleaning, and Restoration Certification (IICRC)
Concrete
Education, Training & Certification for Concrete Contractors, Suppliers, Testing, etc. – offered by American Concrete Institute (ACI)
Hardwood
Hardwood/Laminate Installation Certification & Training – offered by Certified Flooring Installers (CFI)
Hardwood Training, Testing & Certification – offered by National Wood Flooring Association (NWFA)
Inspection
Carpet Inspection Certification – offered by Institute of Inspection, Cleaning, and Restoration Certification (IICRC)
Ceramic Tile Inspection Training – offered by Ceramic Tile Education Foundation (CTEF)
Education, Training & Certification for Concrete Repair and Testing Professionals (includes concrete-slab moisture testing as required by all floor covering manufacturers) – offered by International Concrete Repair Institute (ICRI)
Training & Certification for Floor Covering Inspectors – offered by Floor Consultants and Inspection Training Services (FCITS)
Comprehensive Ceramic Tile Installation Test – offered by Ceramic Tile Education Foundation (CTEF)
Certification for Flooring Professionals CFP cleaners, inspectors, installers and administrative support persons is offered by World Floor Covering Association (WFCA)
Floor Covering Installers – all types
Training, Education & Safety for Flooring Installers –offered by Floor Covering Installation Contractors Association (FCICA)
Certification for Flooring Professionals – CFP cleaners, inspectors, installers and administrative support persons is offered by World Floor Covering Association (WFCA)
Resilient
Resilient Installation Certification & Training – offered by Certified Flooring Installers (CFI)
Sales & Management
Certification for Flooring Executives CFE is offered by World Floor Covering Association (WFCA)
Certification for Flooring Sales Consultants CFS is offered by World Floor Covering Association (WFCA)