Transfer to new NAS, retain original file information

We had an older WD 4TB NAS that suffered drive failure recently. It contained over 10 years worth of our companies files and it wasn’t being backed up as promised by our IT guy. Our owner was able to recover almost 100% of his files by sending the drives off(at great cost) and has purchased a new WD EX4100 to store everything now. Is anyone aware of software that will allow me to transfer this recovered data to the new NAS without affecting “metadata” (created, modified dates, etc)? While this information isn’t necessarily business critical, that information makes it easier for us to find files for customers. I have tried a few but none work as advertised.
Thanks for any advice