Last summer, Liverpool paid £34m to sign Salah from Roma, and the Egyptian international has justified the fee with 36 goals in 41 appearances in all competitions.
Salah currently sits at the top of the Premier League scoring charts, and Thompson has described the 25-year-old's opening nine months at Anfield as "a dream".
Thompson told Sky Sports News: "It has been the best ever debut season for an attacker and it is just astronomical what he is doing. It must be a dream for him and I imagine he will barely be able to understand what has happened.
"He's come from Italy to a league which is supposed to be tougher and more physical and he's finding it a pushover. It has just been everything Liverpool could have hoped for."
Real Madrid and Barcelona have been linked with a move for Salah, but Liverpool will allegedly reject all offers during the summer.