Sidhu resigned as the PCC chief and sent his resignation to Congress president Sonia Gandhi on Tuesday.
Channi also said the party is supreme and the government follows the party's ideology.
Sidhu made the sharp retort amid speculation that the former cricketer is himself eyeing the top post if the Congress wins next month's assembly polls.
The crucial meetings come amid talks of the Congress leadership making efforts to bring all leaders together ahead of next year's Punjab Assembly polls and present a united face of the party.
Gandhi is seeking responses from Congress leaders and workers through the party's Shakti app, sources said. The opinion of common people on the issue will also be sought in a day or two.
Punjab Congress chief Navjot Singh Sidhu on Thursday said Prime Minister Narendra Modi was "troubled" with only 15 minutes of wait whereas farmers protested against the farm laws for a year.
The Bharatiya Janata Party on Friday defended cricketer-turned-politician Navjot Singh Sidhu's prolong absence from party affairs for the past few months, saying the Amritsar member of Parliament is still the "favourite candidate" for them.
Sidhu and Amarinder Singh have been at loggerheads for the past some time, with the Amritsar (East) MLA recently attacking the CM over the desecration cases.
Bharatiya Janata Party leader Navjot Singh Sidhu's wife, Navjot Kaur, is pitted against another greenhorn and independent candidate, Simperpreet Kaur Bhatia, in Amrtisar East, with both candidates hoping to cash in on the popularity of their husbands.
The Supreme Court on Thursday said that the matter pertaining to review of the sentence awarded by it in May 2018 to cricketer-turned-politician Navjot Singh Sidhu in an over 32-year-old road rage case has not been listed "unexpectedly".
Stirring up a controversy over continuance of cricketer-turned-politician Navjot Singh Sidhu in the Bharatiya Janata Partu, his wife said he has "gone back to the profession where he is respected".
About 20 Punjab Congress leaders met in Ludhiana on Tuesday, with some of them batting for a key role for Navjot Singh Sidhu, the former state party unit chief who was among the participants.
Punjab Chief Minister Amarinder Singh and state Congress chief Navjot Singh Sidhu on Friday agreed to set up a 10-member strategic policy group to ensure better coordination between the party and the state government and expedite implementation of various government programmes.
The 52-year-old former cricketer and commentator who is also a popular television personality, was nominated to the Rajya Sabha in April.
Some feel the break ends up breaking the momentum of the game, with batsmen at the receiving end, while some criticise the idea as a pure money-making exercise through an extra advertisement slot. A look at each team's performance in 17 matches of the IPL before the strategy break and in next five overs after the break.
His remarks came on a day when Chief Minister Charanjit Singh Channi announced slashing of the power tariff by Rs 3 per unit for the domestic sector and increasing the dearness allowance for government employees.
'People in Punjab put their opinion very strongly there and it looks like they will fight. But, there is nothing like that, and they find solutions to their problems'
Sidhu had promised that he would quit politics if his party president lost from Amethi, where he was contesting against Bharatiya Janata Party's Smriti Irani.
The Speaker informed the House that he was accepting Sidhu's resignation with effect from Monday.
In a series of interviews, Capt Amarinder Singh said, "Priyanka and Rahul are like my children. This should not have ended like this. I am hurt."
'Sidhu's suggestions regarding formation of the new government were completely ignored, so he stepped down.' 'Channi's government is walking on the same path as Amarinder Singh's.'
Sidhu was the Congress' star campaigner and addressed over 70 public meetings in 17 days ahead of elections in Rajasthan, Chhattisgarh, Madhya Pradesh and Telangana.
Punjab Congress president Amarinder Singh said Sidhu is welcome to the Congress if he wants.
Even as Sidhu parries queries on whether he would join the AAP, dissent is brewing in Arvind Kejriwal's party.
Sidhu is the only MP to appear in a number of advertisements and programmes.
She praised the chief minister for leading the party to "many victories" and taking Punjab on a "road to progress".
On Saturday, Amarinder Singh had accepted Sidhu's "one-line" resignation and forwarded it to Punjab Governor V P Singh Badnore who conveyed his acceptance of the same.
The apex court was hearing a matter pertaining to review of sentence awarded by it in May 2018 to the cricketer-turned-politician in the 1988 road rage case.
Of those released, 371 are fishermen and 64 other civilian prisoners.
The letter to Sonia Gandhi reminded her of the party's 18-point agenda "given to the last chief minister" of Punjab and said that those were "equally relevant today".
Amarinder Singh met Congress vice president Rahul Gandhi and is learnt to have discussed the issue.
Sidhu's meeting with Gandhi lasted for more than 30 minutes and had come at a time when the Congress has finalised half of its candidates for the coming assembly elections in Punjab.
Cricketer-turned politician Sidhu had courted controversy by hugging Pakistan Army chief Qamar Javed Bajwa during his visit to Pakistan for the swearing-in of Imran Khan as prime minister.
Even Congress MP from Ludhiana Ravneet Singh Bittu backed the policemen and praised them for their role during militancy and COVID-19 times.
Congress leader Randeep Singh Surjewala claimed that 78 party legislators had sought Singh's ouster in a letter to the central leadership and it was not party president Sonia Gandhi who made him quit.
Sidhu, while addressing a rally, had warned Muslims not to split their votes and instead defeat the Bharatiya Janata Party by voting against it unitedly.
"The two (the Pradesh Congress Committee chief and the chief minister) consult each other, but the final decision is of Channi, who is the chief minister, not Sidhu," the former chief minister told reporters at the Chandigarh airport.
His remarks came a day after AAP Punjab unit chief Bhagwant Mann took a dig at the cricketer-turned-politician and asked him to tweet about the 'funds' allegedly accepted by the ruling Congress from private power companies in the state.
Punjab Congress chief Navjot Singh Sidhu on Sunday said the state must concentrate on real issues that concern every Punjabi even as MP Manish Tewari said he never saw "such chaos and anarchy" being played out in the party's state unit.