Maamria, 44, took charge in November after former manager Paul Carden left by mutual consent.
The Sandgrounders are without a win in their last five home games and let a 3-0 lead slip in Saturday’s 3-3 draw with struggling Welling United.
They are 17th in the table, but eight points above the relegation zone with eight games left to play.
In his final interview prior to his departure, Maamria said his side needed to lose their uncertainty if they were to improve their inconsistent league form.
“For some reason the team at home are very hesitant and I’ve got to find out why,” he told BBC Radio Merseyside.
“That’s been happening before my time here and we need to get to the bottom of it to give the players confidence.”
After winning four consecutive home matches following his appointment in November, Southport are yet to win at Haig Avenue since the beginning of January.
“Ranting is going to get you nowhere because these are the players I inherited and I’ve got to work with them at least until the end of the season,” Maamria added.
“From day one I said I don’t really get sucked into the table too much because you end up losing focus on the next game.”
Southport fan, Gavin McGuire said: “It’s about time Charlie Clapham cashed in his chips and gave another chairman a chance to take the club forward, the town of Southport would get behind an ambitious club, it’s time for changes”.
Daren Rowell said: “Charlie is doing a fantastic job managing the club with no money”.
Submit News Contact us with your community, business or sport news. Phone 07581350321
Breaking local news as it happens, searchable archives with photographs, the ability to instantly comment on news articles – there are so many advantages to OTS (Onthespot) News.
If you want your news read locally online then send it to firstname.lastname@example.org – relying only on the newspaper is to restrict yourself to an ever reducing audience.