Two white police officers in Canton, Ohio, appeared in court Monday after they were charged with reckless manslaughter in the death of a Black man who was pinned and handcuffed face down.

During the arrest, in April, the man, Frank E. Tyson, repeatedly said he could not breathe, but the police waited about seven minutes before moving Mr. Tyson onto his side, according to body camera video.

The family of Mr. Tyson, 53, had hoped for more severe charges in the case. “It’s not the win that we was looking for,” Mr. Tyson’s brother, John Tyson, said at a news conference on Saturday. But, he added, “We’re going to take this small win and just build upon it.”

The Stark County prosecuting attorney, Kyle L. Stone, said at a news conference that he had presented witnesses and evidence to a grand jury and then “left the room.” The grand jury selected the charge, a third-degree felony that carries a sentence of up to three years in prison, he said.

The indicted officers, Beau Schoenegge and Camden Burch, had been placed on paid administrative leave. Supporters of the Tyson family, including local chapters of the Urban League and the N.A.A.C.P., have demanded that they be fired and that the Canton Police Department adopt a de-escalation policy and a mandatory implicit bias training. They have framed the episode as part of their larger fight for racial justice in Canton.

At Monday’s hearing, Bobby DiCello, a lawyer for the Tyson family, asked that the “presence of over 50 law enforcement officers” at the courthouse not be allowed to influence the proceedings.