Goals in the second half from Dominic Solanke and Divock Origi did the damage as the Reds were the more risky team throughout against Frank De Boer's new-look Palace side.
This was their second victory of pre-season, and while Palace were decidedly less fluent at this stage of the summer, defeating Premier League opposition is certainly encouraging.
It is pre-season time for European clubs and the time when they try to get their players back to fitness.
Daniel Sturridge had Liverpool's first chance in the 13th minute when his shot from Trent Alexander-Arnold's low cross was blocked by Scott Dann.
The Liverpool manager has pursued the Guinea global all summer despite repeated declarations from the Bundesliga club that the 22-year-old is not for sale.
UK, EU Set To Open Next Round Of Brexit Talks In Brussels
On Thursday afternoon, Davis and Barnier should hold a news conference, to fix publicly what has been agreed so far. The EU also accepted that details on the Brexit terms will still be open when trade talks start.
Solanke was introduced from the bench just after half-time and took just 11 minutes to score his first goal for the club - receiving a neat flick by Divock Origi before drilling a shot past Wayne Hennessy.
It will still be interesting to see how Salah can play in his second official game with Liverpool after scoring in his debut for the club against Wigan Athletic.
"He can play there, it's no problem - he can play as a 10, he can play on the wing".
Four English teams - Liverpool, Crystal Palace, Leicester City and West Brom - will compete in the Asian region. And while that is undoubtedly impressive, it is surely not the kind of strike-rate that should tempt the Toffees into making Benteke their number one striker target if he is only available for a fee that would see Palace make a healthy profit on the £32 million they spent on him past year.