Now that Google canceled support for Chrome on Debian 7, I switched to Opera and it is doing job equally good as Chrome did.
Because I like my system to update with no interaction at all I use unattended-upgrades and with Google it worked 100%. Now I would like to know what should I insert in /etc/apt/apt.conf.d/50unattended-upgrades file to keep my new browser fresh all the time.
p.s. For Chrome I added "Google, Inc.:stable"; line in mentioned file.