Birmingham Crown Court earlier heard that the surgeon's actions were a "naive and foolhardy" attempt to relieve tension after two hard transplant operations.
Bramhall, 53, resigned from the Queen Elizabeth Hospital in Birmingham, about 110 miles (175 km) northwest of London, in 2014.
A surgeon who admitted burning his initials on to the livers of two unconscious transplant patients is due to be sentenced in the UK.
One of the 4cm-high sets of initials was found by another surgeon after a victim, referred to in court as Patient A, returned for further treatment around a week after undergoing a transplant.
Simon Bramhall used an argon beam machine to burn his initials on to the livers of two anesthetized patients in February and August 2013.More news: Dahanu boat capsize: 32 rescued till now, search operation continues
Prosecutor Tony Badenoch QC reportedly told the court one of the victims was left feeling "violated" and suffering ongoing psychological harm.
The offence of assault by beating was brought against the consultant surgeon to reflect the act of marking the liver and there is no suggestion he was responsible for physically "beating" either patient.
Crown Prosecution Service Head of Special Crime Frank Ferguson said Bramhall was a very respected surgeon and that many patients owed their lives to him, the Birmingham Mail reported.
Judge Paul Farrer QC, who said Bramhall would also carry out 120 hours of unpaid work, told the defendant: "Both of the (transplant) operations were long and hard".
Passing sentence at Birmingham Crown Court in central England, judge Paul Farrer said Bramhall displayed "professional arrogance of such magnitude that it strayed into criminal behavior". "Why did he think that it was appropriate to do this to me?"More news: Pakistan army chief: U.S. general called, offered assurances
Patient A said she was shocked to discover Bramhall had branded his initials on her during a life-saving operation.
She said her trust in doctors had been destroyed, adding: "My lack of trust in the doctors made me question what could have gone wrong with my new liver".
He took a photo of it but did not initially report the incident, thinking it was a one-off.
The court heard Bramhall later told police he had "flicked his wrist" and made the mark in a few seconds.
"He knew that the action could cause no harm to the patient", said Mr Badenoch. "He also said that in hindsight this was naive and foolhardy - a misjudged attempt to relieve the tension in theatre", Mr Badenoch said.More news: Aetna (NYSE:AET) Raised to "Overweight" at Piper Jaffray Companies