The actor and children's TV legend joined Weatherfield last year, but is set to move on to star in a stage production of Driving Miss Daisy.
The BBC understands he filmed his final scenes last week and will appear on TV screens until April.
But it's thought the character could possibly return to the cobbles at a later date.
Freddie first appeared on the soap last March, when he turned up at Kylie's beauty salon.
He later got a job at Kevin's garage and had a brief romance with Audrey.
It is understood Griffiths left of his own accord at the end of a one-year contract.
He was best-known to a generation of TV viewers for hosting classic children's programme Play School and Play Away during the 1960s, '70s and '80s.
But as an actor he also spent two years with the Royal Shakespeare Company and appeared in West End productions of Miss Saigon and Chitty Chitty Bang Bang.
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The man was involved in a short pursuit on the westbound carriageway of the M55 in Blackpool before smashing into a roundabout in Yeadon Way on Wednesday.
The man, in his 50s and from Accrington, suffered multiple injuries and died at the scene.
The Independent Police Complaints Commission is to launch an investigation.
The man had been driving a Renault Captur when he collided with the Ashworth Circle roundabout at about 21:00 GMT.
A Lancashire police spokesman said: "We immediately referred the incident to the Independent Police Complaints Commission, this is standard practice following a death after police contact."

Real manager Zinedine Zidane has said he cannot guarantee Bale, Cristiano Ronaldo and Karim Benzema will stay at the Bernabeu this summer.
That has prompted reports Manchester United could rekindle their long-standing interest in the 28-year-old.
"It's a ridiculous, stupid story," agent Jonathan Barnett told BBC Sport.
Bale was hampered by injury last season and lost his place to Isco, but previously flourished under Zidane and was rewarded with a place on the 30-man shortlist for the 2016 Ballon d'Or.
However, with Real linked with a 180m euros (£160m) move for 18-year-old Monaco forward Kylian Mbappe, there have been reports that they will look to move on one of Bale, Ronaldo or Benzema.
Asked about the trio on Thursday, Zidane said: "I want everyone who is here now to stay but anything can happen right up until 31 August."
United first tried to sign Bale before he joined Tottenham from Southampton in 2007 and reignited their interest before his move to Spain four years ago.
Instead, though, the Welshman joined Real from Tottenham for a then world record fee of £85m.
He extended his contract in October 2016, committing him to the Bernabeu club until 2022 and on improved terms reportedly worth £600,000 per week, £350,000 after tax.
Despite helping Real win three Champions League titles in four years - scoring in the 2014 final win over rivals Atletico Madrid - Bale's time in Spain has been mixed.
During his second season, he struggled with calf injuries, was jeered by some Real supporters and faced criticism from sections of the Spanish media as Carlo Ancelotti's side failed to win a trophy.
Fans of Corrie will have to wave goodbye to mechanic Freddie Smith soon as Derek Griffiths is leaving the soap.
[NEXT_CONCEPT]
A man has died after the car he was driving crashed during a police chase in Lancashire.
[NEXT_CONCEPT]
Speculation linking Gareth Bale with a move away from Real Madrid is "ridiculous" and "stupid", according to the Wales forward's agent.