It emerged last week Gerrard was on the shortlist to replace beleaguered boss Graeme Murty, who was expected to leave at the end of the season.
Graeme Murty was set to manage Rangers until the end of the season but was dismissed on Monday in the wake of a 5-0 loss at Celtic.
And Houllier has given Gerrard some advice if he is to become the new Rangers manager.
Gers said in a statement: "Rangers International Football Club PLC notify the resignation of two directors, Mr Paul Murray and Mr Barry Scott".More news: Trump Pokes Fun At The State Department
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"There is an interest".
Talks had been on hold while Gerrard spent time in Rome, working as a pundit for BT Sport at Liverpool's Champions League semi-final success.
After retiring from football in 2016 after his spell in the MLS with LA Galaxy, the Reds legend has been coaching within the Premier League side's development ranks while earning his UEFA coaching badges. "I'm busy now for a couple of days but I will pick it up on Thursday and we'll see if we can progress it".
The post will be Gerrard's first senior managerial role, the former LFC captain now in charge of the Under 18s at Anfield.
Barnes, who managed less than a year as Celtic boss before being sacked in 2000, added: 'So I would urge Rangers fans to give him that opportunity and have faith in him knowing that it may not happen overnight'.