According to Broadcast magazine, Redmond's letter to Jowell says that while most industry observers, including Channel 4's own management, take a pessimistic view of its future, Mersey TV does not and he then offers to run the channel.
"As a result, we would be prepared to buy at any agreed third-party open market valuation and gladly run the channel with its current remit intact for a minimum of the next 10 years."
Redmond delivered a key note speech at last week's Nations and Regions conference in Manchester, where he told an audience about his proposed plans.
"Channel 4 needs to be commercial, otherwise it's death by a thousand cuts," he said.
"We need to show confidence in a privatised Channel 4. We can't wait for five years to see what the digital future holds. Which is why I'm offering to buy Channel 4 from the government and run it," he said.
Redmond's comments are bound to cause controversy at Channel 4, which only recently announced it would need around £100m a year from the government to meet its public service requirements.
Mersey TV produces weeknightly teen drama 'Hollyoaks' for Channel 4 and used to make the hit Channel 4 soap 'Brookside', which made stars out of Anna Friel, Amanda Burton, Ricky Tomlinson and Sue Johnston.
Channel 4 axed the soap last year as ratings for the show, which debuted on the channel when it first launched in 1984, collapsed.
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