The pair have been linked with a move to the Bernabeu in recent times, and the Real president was keen to play up the possibility of signing Falcao, formerly of rivals Atletico, next summer.
Perez is quoted as saying:
He [Falcao] won't come in January but in June, who knows?
Nothing is impossible and there is a lot of time between now and then, Falcao is a great player and I am aware that he wants to play for (Real) Madrid. I am aware of that, but it's normal. They told me ...
Again, [Suarez] is a great player, but we can't sign everyone.
The rumoured moves for both strikers come at a time when there is much speculation over the future of French forward Karim Benzema.
The former Lyon player has never fully convinced at the Bernabeu and has been linked with a move away from the club, per Martin del Palacio of The Independent.
The club president, though, was quick to praise the French No. 9 and suggest any decision over his future would be in the hands of head coach Carlo Ancelotti, per Sporting Life:
I have faith in all the players in our squad. Karim is a great player and we get offers for him all the time, every summer. All I can say is that the coach is the one who has the authority to do what he believes is right.
There were multiple names brought up during the interview, with several of those who have been important first-team players in recent years linked with potential moves away.
Perez described Xabi Alonso as "an important player" for the club and dismissed suggestions that long-serving captain Iker Casillas hopes to leave the club having lost his place to fellow Spaniard Diego Lopez.
One of the major talking points, though, was the future of defender Sergio Ramos, who Punto Pelota had previously suggested was a target for Manchester City and PSG, per football-espana.net.
Perez said of Ramos' future:
We've had no offers for him, but it is normal because they know we will not sell. Renewal does not have to be now, but in due course.
We do not talk about these things [contract renewals] as they affect people, their salaries and contracts but I am very fond of Ramos.
We made a great effort to get him here and will do our best to see him retire here as with others, such as Cristiano [Ronaldo] a little while ago.
Sergio Ramos has scored in 10 consecutive La Liga seasons. 42 goals for Real Madrid. pic.twitter.com/u9bH35g1zo— SocialRMadrid (@SocialRMadrid) October 9, 2013
Real Madrid are in the process of rejuvenating their side following the end of the Jose Mourinho era, with the likes of Isco, Asier Illarramendi and Gareth Bale all added to the side this summer.
The additions have brought about question marks over the futures of several established stars at the club, with Real Madrid looking to establish a new era of success.
It will be a slow process, but it is no surprise to see Perez—the man behind Real Madrid's Galactico policy—talking of the possibility of further big-name signings.
Were they to have to replace Benzema, though, it would be Colombian Falcao who is seen as an ideal replacement, with his instinctive movement in the penalty box an ideal foil to the power of Bale and Cristiano Ronaldo from wide positions.