Karius has failed to convince since arriving at Liverpool from Mainz.
Karius has failed to convince since moving to Liverpool this summer and his role in Sunday's draw with West Ham United was heavily scrutinised.
In an interview conducted before but aired after last weekend's defeat to Bournemouth, the 23-year-old called out Carragher's Sky colleague Gary Neville over his criticism, saying he was "a manager for a bit and now he is back to being an expert again."
Speaking on the BBC's Match of the Day 2 programme this Sunday, Neville's younger brother Phil responded by telling Karius to "keep your mouth shut" and "do your job" - remarks which Hamann later described as "outrageous" and "disrespectful".
The retired midfielder then turned his attention to Carragher - besides whom he won four domestic cups and a Champions League with Liverpool - having been informed that the Sky pundit held a similar view to Phil Neville.
"Carra is out of order too," Hamann wrote. "Karius is 23 years old and played over 100 top flight games. Outrageous comments, deserves a little more respect."
Carra is out of order too. Karius is 23 years old and played over 100 top flight games. Outrageous comments, deserves a little more respect https://t.co/DV7Wn2Ldt2— Didi Hamann (@DietmarHamann) 12 December 2016
He added: "You can criticise as much as you want but you don't tell an adult to shut up. Poor form."
Carragher, though, bit back, telling Hamann, mischievously, to "shut up".
Hamann then replied: "Pardon?" To which Carragher wrote: "You heard....weren't telling me to shut up when I got you out of that Tokyo nick in 2005."
You heard....weren't telling me to shut up when I got you out of that Tokyo nick in 2005. https://t.co/LcnMi2E3XA— Jamie Carragher (@Carra23) 12 December 2016
It all ended well, however, with Carragher sharing a text conversation between the pair, in which Hamann explained that has was unaware of his former colleague's comments and therefore could not back down.
Me & the Kaiser are ok now! pic.twitter.com/2P0g3Xt2sZ— Jamie Carragher (@Carra23) 12 December 2016
As for Toyko 2005, though, it seems we will never know...