Of course, you can use the whole forensic image as the source, but it is much faster to extract the Google Chrome folder from the user's profile, as this greatly reduces the dataset that has to be parsed. Here is where you can find the folders you need:

Windows XP:

C:Documents and Settings\%USERNAME%Local SettingsApplication DataGoogleChrome

Windows Vista and above:

C:Users\%USERNAME%AppDataLocalGoogleChrome

Export the folder, make sure Magnet AXIOM with a valid licence or trial is installed on your forensic workstation, and you are ready to go.