The 29-year-old forward stroked the ball home after rounding David De Gea for a goal timed at only 29.6 seconds, the fastest of the season so far.
It is the first goal in 2016/17 timed at under a minute and is over a minute faster than the next quickest goal in 2016/17, which was scored by Burnley's Sam Vokes against Liverpool on the 1min37secs mark.
Pedro's goal, however, just misses out on making the top 10 fastest goals in the Premier League since Opta started collating this data in the 2006/07 season.
Top 10 fastest PL goals since 2006
The quickest goal time recorded since 2006 is 13 seconds, with Jay Rodriguez (for Southampton v Chelsea in December 2013), goalkeeper Asmir Begovic (for Stoke City v Southampton in November 2013) and Jesus Navas (for Manchester City v Tottenham Hotspur in November 2013) claiming that mark.
Stoke have two entries in the top 10, with Peter Crouch's goal against Arsenal in 2014 - timed at 19 seconds, the next best.
Pedro's goal means he is also the fastest player to have scored for Chelsea since 2006.