Speaking on theRest is Football podcast, Lineker said: "The only way out of this mess, and I think they should keep offside and goal-line technology.
"But I think you either scrap the rest of it or, more realistically, you take it to an appeal system.
"You limit the amount of times that VAR can intervene. It can not intervene unless someone appeals.
"It has to be the captain and they have got to tell you what they are appealing for.
"It does not mean there is a goal and you have got to find some kind of foul somewhere.
"They have to stipulate what the foul is, the captain does it, and if it is a foul then it is a foul, there is no bar.
"It is the decision that the VAR and the referee come to. Maybe one appeal a half, but it stops VAR coming into every possible corner that comes in. It stops all those things.
"You can have 20 seconds to do the appeal and it would add to the drama. You can get it on the screens and all that kind of stuff. It won't be where every single goal is looked at."