Origi played the final hour of Sunday's 2-0 win at Anfield, scoring his team's second goal after Andy Robertson was involved in the creation of the opener.
Belgium have now scored six goals against Everton and built a reputation as a super sub, coming off the bench to score in the 2019 Champions League final.
The former Liverpool player and manager replied: "Origi is the one who will be allowed to leave this football club because he is not good enough for this football club."
Everton could win hearts with a spirited performance, but end the day in the relegation zone, two points behind Burnley after their win over Wolverhampton Wanderers saw them climb to 17th place.