According to Calciomercato, Inter Milan have full confidence in Josep Martinez. They will not allow Provedel to replace him in the starting lineup.

After the away defeat to Real Madrid, Chivu also made his position clear: “Why talk about Martinez? There is no need to discuss him. I care more about those who are able to get back up again.”
After a mistake from him led to Real Madrid scoring the goal that made it 2-0, the former Genoa goalkeeper did make several excellent saves afterward to keep the match in suspense, but Inter Milan still ended up losing.
Provedel continues to remain on the bench.
Chivu's idea is to once again show his trust in Martinez through practical action. He was promoted to the role of first-choice goalkeeper after Yann Sommer's departure. Following this approach, a major change before the next league match is unlikely: Inter Milan will face Udinese at San Siro on Monday evening Beijing time, and the goalkeeping position is expected to remain with this Iberian goalkeeper. This choice is not surprising, because Chivu also has a reliable goalkeeper like Ivan Provedel behind him, who joined from Lazio this summer.
Martinez also expressed his thoughts through social media yesterday afternoon: “No journey is without falls and mistakes, whether in football or in life. Standing back up during difficult moments like yesterday shapes a strong character, which is important when you are protecting these colors. I take responsibility for my mistake on the second goal conceded.”
Against a team like Real Madrid, you cannot concede two goals in situations like this, because they will not forgive your mistakes. We are all disappointed because I feel the team played well and should have brought back something positive from Madrid. We will learn, grow, work hard to improve, and then continue looking forward. But always together, united together.”