Accessing Awstats from outside the control panel is easy.

 
Download awstats from http://awstats.sourceforge.net
 
Uncompress  awstats-latest_package.tgz
 
Copy the contents of the uncompressed cgi-bin folder from your hard drive 
to the user cgi-bin directory 
(this includes awstats.pl, awstats.model.conf, and the lang,  
lib and plugins sub-directories).
 
If necessary (should not be needed with most setups), edit the 
first (top-most) line of awstats.pl file that is
#!/usr/bin/perl to reflect the path were your 
Perl interpreter is installed. Default value works for most 
of Unix OS, but it also might be #!/usr/local/bin/perl
 
Move AWStats icon sub-directories and its content into a directory 
readable by your web server, for example /home/users/public_html/icons
Copy awstats.model.conf file into a new file named 
awstats.myvirtualhostname.conf. 
This new file must be stored in /home/user/public_html/cgi-bin.

Edit this new config file with your own setup :

Change LogFile value with full path of your web server log file
 (The path is: LogFile="/usr/local/apache/domlogs/domain.com").

Check if LogFormat has the value "1" 
(it means "NCSA apache combined/ELF/XLF log format").

Change DirIcons parameter to reflect relative path of icon directory.
 (DirIcons="/icons")

Edit SiteDomain parameter with the main domain name or the intranet 
web server name used to reach the web site to analyze 
(Example: www.mydomain.com).

Change DirData to use the same Statics file than Cpanel Awstats and do not loose any entry. (DirData="/home/user/tmp/awstats/")

Access AwStats by the URL:

www.domain.com/cgi-bin/awstats.pl?config=domain.com
 The AwStats will refresh the Statics every 24 Hours.