Mohamed Salah scored twice and Joel Matip once when the Gunners, previously unbeaten, travelled to Merseyside for their third match of the new Premier League season.
Ceballos moved to Arsenal on a year-long loan deal from Madrid but the London-based side have no option to make the deal permanent upon expiry.
Speaking to the Guardian in a comprehensive interview, Ceballossaid: "I'm very grateful [to hear the fans chanting my name]".
It's interesting to see Ceballos describe the Frenchman as the better player and it would be intriguing to gauge the opinion of the Arsenal fans who go to the games every week on that one.
"It's much easier to adapt because they make you feel like you've been at the club forever". You spend so much time defending and when you want to do something with the ball, when you want to breathe, they're back on top of you.
"The fans are very passionate, they love the players".
The Spain worldwide midfielder joined Arsenal on a season-long loan from Real Madrid this summer and made two assists on his first start in a 3-1 win against Burnley.
However, Ceballos knows the level of difficulty in the Premier League is high.
"I'm just really happy to be part of this great club. I've hardly noticed any difference in size between Real Madrid and Arsenal." said Dani Ceballos on his first few weeks In England.
'Pepe is very direct, and Lacazette is the best player in the team: he understands the game perfectly'.
Ceballos also compared Pierre-Emerick Aubameyang's desire to score goals with Cristiano Ronaldo in lauding Arsenal's front three.
The Spanish worldwide made this known in a chat with the Guardian as he described Frenchman Lacazette as the best player in the Arsenal attack.
Ceballos suffered a humbling experience at Anfield last month, however, as the Reds swatted the Gunners aside, winning 3-1.
North Korea says it's willing to resume nuke talks with US
The report says Kim also unveiled a plan to increase the production of tactical guided weapons, including the rocket launcher. North Korea has also conducted at least eight test launches since then, usually with multiple missiles each time.