Struber worked with Rangnick as RB Salzburg but does not believe now is the right time to leave New York and move to the Premier League.
“There was a request. It's no secret that Ralf Rangnick and us know each well, and appreciate each other," he told Sky Sport Austria's 'Talk & Tore'.
“I am very honoured by the request from England. At the same time, the situation for me in New York is such that it allows me to look to the future with great hope and I don't want to give up on the path with New York overnight," Struber explained.
“I am very committed to the team in New York and we have big plans. I have a long-term contract in New York that I want to keep and I have big goals with an ambitious team.
“I settled in very well in New York and went through difficult times with my team and we really grew together. It would be the wrong time to say goodbye here.
“I feel very comfortable in my current role as head coach and believe that I can achieve the greatest impact in this role and that's why I want to continue on this path."
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