Speaking after Madrid's 3-1 win over Juventus in the International Champions Cup on Saturday, Lopetegui pointed to Perez's statement as definitive.
Real were said to want as much as £44 million to consider selling Kovacic.
Reports in Italy have said Modric wants to move to the Serie A club and has agreed personal terms. "My understanding is that both are happy to be here". "We have enjoyed it and we will continue enjoying it without any doubt", the 51-year-old manager added.
Real Madrid close out their ICC campaign against Roma on Tuesday before facing local rivals Atletico in the UEFA Super Cup on August 15.
Browns trade former 1st-round pick Corey Coleman to Bills
He caught 23 passes and went for 305 yards and two touchdowns. "He's just coming in here to compete and earn". Cleveland selected Coleman out of Baylor with the 15th pick in the 2016 draft.
"I answered that the other day", Lopetegui told reporters when asked about Modric's future.
"[Kovacic] has trained with his team-mates as usual and there has not been the slightest problem, I love him and we are delighted that he is among us".
With midfielder Toni Kroos this week saying it would be "difficult" for Madrid to replace the 50 goals a season previously all but guaranteed by Cristiano Ronaldo, Lopetegui said he had no problem with not having yet signed a high-profile replacement.
"I see this is an opportunity to move forward as a collective, and fulfil the demands at this club". "One of recent history's most important players has left".