Chelsea mounted a dismal defence of their title this season, finishing 31 points behind winners Leicester City in 10th place, while serial champions Barcelona won their sixth La Liga title in eight years when they beat Granada 3-0 on Saturday.
"I am really happy here and have no regrets about the decision I made to join Chelsea," the 28-year-old Pedro told British media.
"Is the best still to come from me? Absolutely. I always keep faith in myself and my abilities."
Pedro, who was named in Spain's provisional squad for Euro 2016 earlier this week, backed Chelsea to come back strongly next season.
"I am already looking forward to next season in terms of what we can achieve and putting the club back where it should be," he added.
"I'm really looking forward to fighting for the Premier League, which will be a dream for me."
(Reporting by Ian Rodricks in Bengaluru; Editing by John O'Brien)
