After Brendan Rodgers' exit, the club is not only searching for a new first-team manager but is also restructuring their football operations.
Stevie Hammell is set to be promoted from head of football coaching to head of academy, replacing Chris McCart.
An approach has reportedly been made to Chelsea for under-21s coach McFarlane, who is a target for a role at Celtic.
The Premier League club have given permission to speak to the 39-year-old.
He began his career at Manchester City, then moved to Southampton, and joined Chelsea in July.
Despite seeing him as a rising star, Chelsea have agreed to let him talk to Celtic, with discussions yet to take place.
At the first-team level, Martin O'Neill and Shaun Maloney have brought in Mark Fotheringham to assist during their interim period.
Celtic have reportedly made an approach to Chelsea for youth coach Calum McFarlane.
The Scottish club is currently undergoing a revamp of their football operations following Brendan Rodgers' departure, and they have set their sights on McFarlane for a role within the club.
An Irish media outlet, 42.ie, has reported that Celtic have sought permission from Chelsea to speak to the 39-year-old.
McFarlane, who started his coaching career at Manchester City, moved to Southampton before joining Chelsea in July.
Despite being considered a rising star by Chelsea, the Premier League club have reportedly agreed to allow him to hold discussions with Celtic.
These discussions are yet to commence.
In addition to this potential recruitment, Celtic are also making changes within their existing coaching staff.
Stevie Hammell is set to be promoted from head of football coaching to head of academy, replacing Chris McCart.
At the first-team level, Martin O'Neill and Shaun Maloney have brought in Mark Fotheringham to assist during their interim spell.