The Danish starlet impressed everyone with his performances at the Euros this summer, but Ferrero then insisted the was not for sale and said he wanted to keep the youngster.
The 21-year-old scored twice at the European Championship and played 37 games with Sampdoria in his first season with the Blucerchiati last term.
Roma have been linked with Teun Koopmeiners of AZ Alkmaar and Arsenal midfielder Granit Xhaka in recent weeks, but Ferrero, who has a soft spot for the Giallorossi, has hinted he would let the Dane move to the Olimpico.
“If they call me, we will agree,” Ferrero told Il Corriere dello Sport. “Damsgaard is stronger than Xhaka.
“He’s a quality midfielder, he can also play in that role. Let’s sit down, they just need to call me and we will find a solution.
“Xhaka won’t go to Roma, then they need another midfielder. I want him to go to Roma, I’m a Roma fan and Damsgaard would be a great reinforcement.”