Toto Wolff said he has “always stood by my beliefs and values” since his wife Susie filed a lawsuit against motorsport's governing body.
The investigation began in December but ended two days later.
“Susie is a strong woman who doesn't take anything away from anyone,” Wolff said.
“She has always stood by her beliefs and values, and that applies here as well,” the Mercedes team principal said.
“She is very unemotional and pragmatic about this matter and feels that something wrong has been done and that the court needs to hear it. What will distract her from that path?” No, that's her personality.”
“Susie started the process many months ago and has been very enthusiastic about it as far as I can tell. She will follow through.”
Ms Wolff's case revolves around an investigation launched by the FIA into claims by the magazine that her rivals believed her relationship with her husband amounted to a conflict of interest in the sport.
An article in Business F1 magazine claimed that a number of team principals had raised concerns with the FIA about the potential for confidential information to be passed between Mercedes and F1 through the Wolffs.
Susie Wolff is responsible for F1's junior category for aspiring female drivers, reporting directly to F1 chairman Stefano Domenicali.
Both Mercedes and F1 denied the claims. Susie Wolfe said she was “deeply insulted but sadly not surprised” by the allegations, calling them “coercive and misogynistic” in a social media post at the time.
Two days after its compliance department announced it was looking into the matter, the FIA closed its investigation, saying it was “satisfied” that F1 had taken steps to protect against such problems.
Toto Wolff said it was important to Susie that the circumstances surrounding this matter be thoroughly investigated.
“The most important thing for her is that we find out what happened and that people are held accountable and responsible and that things are not swept under the rug. And we as a sport, whether it's Susie's case or Susie's case “We need to do that in every area, whether it's other teams,” he said.
Last month, Red Bull team principal Christian Horner was cleared following an internal investigation into allegations of “inappropriate and controlling behavior” towards a female colleague.
Horner, who has led Red Bull since 2005, has repeatedly denied the allegations.