Both players have been linked with moves away from their respective clubs with Atletico Madrid's Griezmann subject to interest from Barcelona.
"I have nothing negative to say about Cristiano", he said.
"It wouldn't be so dramatic for the league".More news: Nadal advances to 11th French Open final, will face Thiem for title
"Everyone knows that I feel more comfortable in the centre than at full back, but I've played big matches there".
The 33-year-old admits a tough Group B opener against Spain on June 15 is not ideal, but he remains confident the European champions will reach the knockout rounds.
It is not the first time he has appeared close to the exit door at Real, often for the same reasons - wrangling over contract negotiations, a frosty relationship with president Florentino Perez, and a perceived lack of support in his row with Spanish tax authorities.
With 25 caps for his country, Bernardo is relatively early in his worldwide career, but with 53 appearances in his debut season at City alongside nine goals and 11 assists across all competitions the winger could been a key figure in Portugal's World Cup endeavour.