United were keen to sign Pedro, who made the decision to leave Barcelona earlier this summer after falling down the pecking order at the Camp Nou under Luis Enrique, but the Spain international opted for Chelsea after the Blues entered the race for his signature.
Pedro also described Jose Mourinho as the "best manager" in a new interview with Chelsea's official magazine.
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"I had options, but this was the best," the 28-year-old revealed. "Chelsea have won many trophies and I think I have an opportunity to win more here with the club. We have great players with the best manager.
"I was looking for new challenges and new goals and to play more regularly, so I'm really excited and happy to be here.
"I'm also keen to keep learning and, hopefully, winning at this marvellous club. I think this is a great team, the league here is very important and I feel very happy to be here."
Chelsea struggling this season
Pedro, though, might not have expected that Manchester United would be six points clear of his new employers after five rounds of matches.
Chelsea have won just one of their opening five games and currently sit one place outside of the relegation zone, with four points secured from a possible 15.
Pedro must help Chelsea rediscover their form
Pedro marked his debut with a goal and an assist in a 3-2 win over West Brom at the Hawthorns last month, but struggled to make a significant impact in the back-to-beat defeats against Crystal Palace and Everton, barring an assist for Radamel Falcao against the Eagles.
The World Cup winner, who cost Chelsea £21 million, will be determined to help transform the Blues' fortunes, starting on Wednesday night against Maccabi Tel Aviv in the Champions League.
After that, the focus switches to Saturday's crunch Premier League clash between Chelsea and Arsenal at Stamford Bridge - a fixture the home side simply can't afford to lose given the circumstances.
Was Pedro right to join Chelsea - or will he regret not signing for Manchester United? Have your say by leaving a comment in the box below!