The anti-racism group says the 31-year-old Chelsea captain could repair some of the damage caused through his altercation with Anton Ferdinand by taking part in nationwide projects
The 31-year-old was acquitted of a racially aggravated public order offence by Westminster Magistrates' Court in July, but the FA brought its own disciplinary hearing against the defender and subsequently found him guilty of "abusive and/or insulting words and/or behaviour" towards Ferdinand, banning him for four games and fining him £220,000.
"One of many ideas which could be explored is how perpetrators can actively contribute to the equality and inclusion agenda," said a Kick It Out spokesperson.
"A good example of a programme players could take part in is the campaign's forthcoming One Game, One Community initiative, which runs October 18–29. There are a host of activities across the country, including prison and school visits.
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The group suggests that getting players involved in such schemes would create better understanding between players and fans, and remind footballers of the of the responsibilities of their privileged positions.
"These individuals get a better understanding of what happens there and can see the game, and hopefully life, from a different perspective. It's also about getting people to appreciate the luck they have in doing something they enjoy for a living," added the spokesperson.
"This could be a valuable piece of the sentencing package and will demonstrate a creative way of reaching a satisfactory conclusion and moving towards an era of greater interaction."Terry is still deliberating whether to appeal the FA's verdict, and was roundly booed during his side's victory over London rivals Arsenal on Saturday afternoon. He could potentially take his case to the Court of Arbitration for Sport, prolonging the affair.