The ”Hardwood Floor Medallion” is a term mainly used in the US. Also used there are ”Wood Floor Medallions”, ”Wood Medallions”. The UK, for example, takes the term ”Parquet Motifs”. In France we find ”Rosaces Parquet”. In Italy there are ”Rosoni Parquet” or ”Centrostanza Intarsiati”.
All the above terms refer to a piece of decorative parquetry displaying motifs of various origins, with inlays used inside parquet flooring or hardwood flooring (a larger term) installations with aesthetic purposes.