The Spain international has mentioned the Portugal centre-back as one of three players he would bring to the Camp Nou side
Barca midfielder Sergio Busquets revealed recently that Ramos would be a good fit for the Camp Nou side, and Pique agrees with his team-mate, while also controversially mentioning Pepe as a welcome addition.
"Which Madrid player I would sign for Barcelona? One of Pepe, Ramos and Varane," Pique was quoted as saying by Marca.
"With all the injuries we have in defence, that's the area where we could do with reinforcement the most. And Iker [Casillas] of course."
The Spain international then went on to stress there is no longer any problem between Barca and Madrid players in the national side.
"We all defend the honour of our own teams, but we are united with the national team," he added.
"There was a time where the relationship between Barcelona and Madrid players was not ideal, but that's a long time ago now. We all have the same objective."