Manager AD Howe says Alexander is “to be right for nucleus” of its future.
The striker is considering his future in the club amidst interest from Liverpool.
It did not travel to Singapore with the squad on Thursday, Nuclea said that he was hurt in a thigh, but Sweden International wants to see a step.
A source has told the BBC Sport that Liverpool is still interested in the age of 25, despite the signing of Eintracht Frankfurt Striker Hugo Acritic for an initial £ 69m.
Speaking before Sunday’s pre-season friendly against Arsenal, Have said: “Of course there are things behind the screen.
“He will be aware that he is in news every day and I am sure that in that situation it is not easy for anyone. Alex and club, or Alex and interactions with themselves, will be private for clear reasons.
“We share a good relationship. Ever since he joined he has been fantastic for us. He is very popular in the dressing room.
“We will love him to continue his journey in Newcastle. However, whatever happens is to be right for the newcomel.”
It has a contract until June 2028, for about 60 meters signed by Real Sosidad in August 2022. He scored 27 goals in 42 demonstrations in all competitions for Newcastle last season.
Last Saturday, after its Celtic missed a friendly defeat by Celtic, Have said that the player would be part of the squad for the Games in Singapore and South Korea.
Howe says that its injury is assessing its injury in nucleus, saying: “Hopefully he will come back soon and play in black and white shirts. This is what we all want to see.”
He said: “He mentioned his thigh before the Celtic game for the first time. We assumed that it would be very low, nothing is serious. I think after the Celtic game on Monday, he went for training long ago and he did not feel right.”
Have said that he has not yet contacted the board of Newcastle about its future, but said that any contract negotiation would be “later”.
Asked whether it would remain, he said: “I said that after the Celtic game I definitely hope that he will remain and I said that I am confident that he will live.
“I am not seeing anything that will change my opinion at this time – but it’s football and who knows what the future can bring?
“We are in a very strong position financially.
“We are firm to be successful, become ambitious. We have got a great season ahead of us and we need to add the team and continue to improve. The journey will continue in a trajectory and this is what we all want.”
