Nike does not disclose details of individual employment actions, said Mr. Rossiter, who would not say how many complaints the company had received, the nature of the complaints or when the first was received. Nike managers have spoken to “a cross-section of employees” about the issue, he said.

The memo, which was written by Mark Parker, the chief executive, is also vague, according to excerpts published by the magazine Fast Company.

“Over the past few weeks, we’ve become aware of reports of behavior occurring within our organization that do not reflect our core values of inclusivity, respect and empowerment at a time when we are accelerating our transition to the next stage of growth and advancing our culture,” Mr. Parker wrote. “This disturbs and saddens me.”

Nike, based in Beaverton, Ore., has an alert line for employees to call in complaints and recently added an additional telephone hotline and email inbox for concerns, Mr. Rossiter said.

The company will also try to diversify its management ranks, he said. As of the 2015 fiscal year, 41 percent of Nike managers were women, according a report from the company. Nearly half of its employees were white.