Unzip a .odt file, it contains content.xml file. A comment looks like this:
<office:annotation office:name="__Fieldmark__1_514712390">
  <dc:creator>John Smith</dc:creator>
  <dc:date>2014-05-29T14:38:39.846905891</dc:date>
  <text:list text:style-name="">
   <text:list-item>
    <text:p text:style-name="P2">
     <text:span text:style-name="T1">A comment text.</text:span>
    </text:p>
   </text:list-item>
  </text:list>
</office:annotation>
Now all you need to do is replace all <dc:date>2014-05-29T14:38:39.846905891</dc:date> with a dummy date, e.g 2000-01-01T12:00:00.0 and save it back to original .odt file. Or why not use the date when document was created (in meta.xml): <meta:creation-date>2014-05-29T14:38:30.386644381</meta:creation-date>
The following python script does it for you and renames the file as name-clean.odt:
#!/usr/bin/python
import glob, re, os, sys, zipfile
for pattern in sys.argv[1:]:
    for filepath in glob.glob(pattern):
        dirname, basename = os.path.split(filepath)
        root, ext = os.path.splitext(basename)
        newname = '%s-clean%s' % (root, ext)
        outpath = os.path.join(dirname, newname)
        zin = zipfile.ZipFile (filepath, 'r')
        zout = zipfile.ZipFile (outpath, 'w')
        for item in zin.infolist():
            if item.filename == 'mimetype':
                zout.writestr(item, zin.read(item.filename))
        for item in zin.infolist():
            if item.filename == 'meta.xml':
                data = zin.read(item.filename)
                # Find the document creation timestamp.
                timestamp = re.search(r'<meta:creation-date>([^<]+)</meta:creation-date>', data).group(1)
        for item in zin.infolist():
            if item.filename == 'content.xml':
                data = zin.read(item.filename)
                # Replace all occurrences of date in <dc:date>
                data = re.sub('<dc:date>[^<]+</dc:date>', '<dc:date>%s</dc:date>' % timestamp, data)
                zout.writestr(item, data)
            elif item.filename != 'mimetype':
                zout.writestr(item, zin.read(item.filename))
        zout.close()
        zin.close()