Hamza Choudhury and Wesley Fofana are set to avoid any disciplinary sanction after they celebrated with a Palestinian flag during Leicester's FA Cup final success on Saturday.
The pair held either end of the flag during a lap of honour and Choudhury had it draped over his shoulders when he collected his medal following the 1-0 victory over Chelsea at Wembley.
The move came amid renewed conflict between Israel and Palestine, and was interpreted in some quarters as a political gesture.
However, it is understood the Football Association does not investigate the general use of flags on the field of play.