Update: FileLocator Pro 7.5 or higher
FileLocator Pro 7.5 introduced a Bulk Copy feature, as part of the Export Results functionality, which provides several options for copying a large number of files to a directory of choice:

More information can be found here:
Help file: Export Results
Original answer (older versions of FileLocator Pro)
Currently the only other way to copy files is to create a batch script to XCOPY the files to another location. To create the script use the Custom (XSLT) output format and specify a transform similar to the Sample Transform xcopy.xsl:

The xcopy.xsl transform creates an XCOPY command for each file replacing just the drive letter and preserves the folder structure, e.g. if the found results were:
c:\folder1\folder2\filename1.txt
c:\folder1\folder2\subfolder\filename2.doc
the generated export would be:
xcopy "c:\folder1\folder2\filename1.txt" "e:\folder1\folder2\*"
xcopy "c:\folder1\folder2\subfolder\filename2.doc" "c:\folder1\folder2\subfolder\*"
The destination drive letter is hard coded in the xcopy.xsl file as E: but can be changed to any drive or folder. Just find the line in the xcopy.xsl file which specifies the destination:
<xsl:text>e:</xsl:text> <!-- This is the destination drive letter -->
and change it to your destination folder, e.g.
<xsl:text>c:\copy_folder</xsl:text> <!-- This is the destination drive letter -->
If you want to pass flags to the XCOPY command, e.g. /Y, find the line:
<xsl:text>xcopy "</xsl:text>
and add in the flags you want, e.g.
<xsl:text>xcopy /Y "</xsl:text>