The Blues, who have struggled at home this season, were inspired by Hudson-Odoi's best performance since returning from a serious injury, reminding Frank Lampard of his quality here after struggling for form in recent weeks.
First up he broke the deadlock after a trick to come inside from the left and then sent a low finish back into the bottom right corner.
And it was almost a carbon copy for the second, but his shot, this time directed to the bottom left corner, was parried by Jordan Smith but Ross Barkley converted from close range.
Here are the player ratings from Stamford Bridge.
Chelsea vs Nottingham Forest player ratings
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