A picture of a man wearing the shirt with “Stand With Soldier F” printed across the back is circulating on social media.
The t-shirt also reads: “No Apologies, No Surrender.”
The man is seen standing talking to younger males.
Soldier F is charged with two counts of murder and five counts of attempted murder on Bloody Sunday in 1972.
The prosecution against Soldier F recently resumed after the High Court overruled a decision by the Public Prosecution Service (PPS) to halt the case against him.
Foyle MP Colum Eastwood has taken to Twitter to express disappointment at the Soldier F t-shirt display.
“The people of Derry have led the way in accommodating the Apprentice Boys parades,” he wrote.
“It’s not been easy and has meant all sides have had to stretch themselves.
“This nonsense is deliberately offensive and has no place in our city.”
Thousands of members from 26 bands marched in the annual Lundy parade on Saturday, December 3, to commemorate the 17th century siege of the city.
In August 2021, the PPS announced that there would be no prosecutions against three people from a loyalist band who wore Soldier F insignia during an Apprentice Boys parade in Derry.It comes almost two years after the Clyde Valley Flute Band wore Parachute Regiment insignia with a letter ‘F’ underneath in support of a British soldier charged with murdering innocent civilians in Derry.
Three people were reported to police for an alleged public order offence at the parade on August 10, 2019.