Unless the Mfgr. can tell you where to get a matching floor, you have to have a Plan B. Consider getting the CLOSEST flooring and have the entire floor refinished. In doing this, it can be restained the same color. However, not all parquet floors can be refinished. Check w/the Mfgr. about this BEFORE you do any demolition.
Otherwise, you're left with filling in the gaps with whatever you can, or replacing the entire floor (as they suggested.) Sorry.