The England international and his Blues teammates are due to fly to Asia for two weeks before spending time in the United States for the International Champions Cup.
"Pre-season is always difficult. I've spoken about it before, how hard it can be, when it's that bit hotter than at home," Cole told the club's official website. "I've done a lot of pre-seasons now and they never get easier."
The 2013-14 Premier League season begins on the weekend of August 17.