Xherdan Shaqiri went bolder, insisting "nothing is impossible".
However, the World Cup hangover effect could help Klopp get the early-season edge on some of his fiercest Premier League rivals.
The 28-year-old featured regularly in pre-season and scored four times to stake a convincing claim for regular opportunities. Klopp, however, says he does not find outside opinions interesting.
"A good performance, of course", Klopp said. As the Hammers retreated deeper and deeper into their own area, the Dutchman spread play beautifully, switching play quickly.
"He's going to a club now which in all intents and purposes a bigger club than what Stoke is".
"The second part, what those outside of our club think, I really could not care 0.1 per cent about because it's not important".
"At £13m it is a snip and I hope upon hope that this goes right for the boy".
Fabinho was a brilliant spot-kick taker for Monaco but fluffed his lines from 12 yards against Torino on Tuesday night, so Mane could be top of the pecking order again on Sunday. I really love how the players have reacted this summer and I can not praise them enough for the way they have stayed hungry until now.
But there's no doubting his ability.
"We can not be anything different than the challenger because we haven't won anything since I came in".
Both of these teams came in to the game with bags of confidence off the back of impressive pre-season preparations, with both also adding several new additions to their squad over the summer. Already, there is a belief in some circles - although not now on Merseyside - that Klopp is more of a bridesmaid manager than one who consistently delivers titles.
The reds had dropped down the gears but always looked like they had the fourth goal in them. The improvement under Pellegrini is clear, but in truth, they came up against a side whose fluent style is easy on the eye and has every chance of helping them to their first title success in 28 years.
"I think Liverpool played better than us".
"It is one of the best clubs in the world and so now we try to show that on the pitch. Not just for the league title, but for a pre-season where so many pundits and supporters believe they can win it", wrote former Liverpool captain Jamie Carragher in The Telegraph.
Manchester City ran away with the league last season and were comfortably the best team domestically.
"We played really well in the first half but they changed it round at halftime and pushed us in the second half".
Liverpool managed just one win in this competition last season which came in a Merseyside derby when Virgil van Dijk scored the victor against the Blues on his debut.