Shearer has been an out-spoken critic of midfielder Joe Allen, who cost £14million from Swansea in the summer.
Liverpool chief Rodgers, who has drawn comparisons between Allen and Spanish great Xavi, blasted: "I saw something criticising Joe for not playing risk passes.
"Unbelievable. Our so-called pundits who don't know the dynamics of a team and how it functions. Joe will prove an absolute bargain."