The ex-West Ham, Chelsea and Manchester City midfielder called time on his medal-laden, 21-year career on Thursday.
Lampard left Major League Soccer side New York City FC at the end of last year and is now working towards his coaching qualifications with help from the FA.
Press Association Sport understands the governing body made contact with him shortly after moving to the United States in the summer of 2015, presenting him with coaching options and the way it could help.
The FA is in dialogue with the likes of Lampard, Ashley Cole and Paul Scholes, as well as current England captain Wayne Rooney, about coaching development, although such help does not include a guarantee of work within its structure.
The 38-year-old hinted at a future in management when announcing the end of his playing career on Thursday.
"After 21 incredible years, I have decided that now is the right time to finish my career as a professional footballer,'' Lampard wrote on Instagram.
"Whilst I have received a number of exciting offers to continue playing at home and abroad, at 38 I feel now is the time to begin the next chapter in my life.
"Looking forward, I'm grateful to the FA (Football Association) for the opportunity to study for my coaching qualifications and I look forward to pursuing the off-field opportunities that this decision opens."
Former Liverpool captain Steven Gerrard retired last November and has since taken up a role with the Reds' academy.
Source : PA