The 26-year-old has signed a three-year contract with the Potters.
Edu announced on Twitter: “Stoke City, it’s finally official! Excited & looking forward to this next chapter in my career. Thanks for all your well wishes & support!”
The 26-year-old has completed the move to Stoke following his exit from relegated Scottish side Rangers.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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