The 25-year-old was benched for the visit of the Blues to the Britannia Stadium and given just six minutes at the end of the game with the scores at 2-2.
But he made an impression, firing a ferocious shot into the top corner to give Stoke their first league win over Chelsea in 38 years.
Assaidi joined Stoke from Liverpool in the summer on a season-long loan and has been a peripheral figure so far, starting only four games in all competitions; but that could change after his eye-catching strike.
"For the minutes I've been given I think I did well," he said. "I've scored two times and I haven't had so many games I think.
"This week I got 90 minutes two times and I'm very happy for this. I wanted to start again but the coach made another decision. I showed that I can create something for the team.
"The coach knows my quality I think because before I went on the pitch he told me, 'Go and win us the game'. He knows what I can do.
"I'm very happy for this confidence but I really want to start of course. I had to be patient until he gave me my opportunity, then I showed (what I can do)."
As well as being an excellent result for Stoke, the win was also an important one for Assaidi's parent club Liverpool, who went second in the Premier League table - above Chelsea on goal difference.
And while Assaidi is firmly focused on performing for Stoke, he hopes he will eventually be given a first-team chance at Anfield.
"I have two years more and we will see but I'm now at Stoke and I'll do my best," he said.
"(Rodgers) texts me sometimes and I speak sometimes with him. I think the games that I got at Liverpool was not so much but the games I got I did well. If he gives me a chance then maybe I can show (what I can do)."