Humza Yousaf said he will not resign as First Minister of Scotland and intends to continue in his position.
Youssef is fighting for his political future ahead of the no-confidence vote next week.
He said he was confident he would win the vote, and that he hoped the Scottish Greens would change their mind about voting to sack him.
He also said he would “absolutely” lead the SNP in the general election and the 2026 Holyrood elections.
Youssef denied claims by his opponents that he was now a “lame duck” First Minister after the collapse of the power-sharing deal between the Scottish National Party and the Green Party on Thursday.
The two pro-independence parties have formed the Scottish government since 2021, and Youssef now plans to run a minority government in the Scottish Parliament.
Youssef will write to opposition party leaders – including the Green Party – later on Friday asking them to meet with him in a bid to “make the minority government a success”.
He said of the Green Party: “I hope they will reconsider their position because there are a lot of issues, a lot of priorities, that both the SNP and the Green Party share.”
He said he hoped to work with them “issue by issue” to “deliver for the people of Scotland”, but acknowledged that the minority government had been “difficult”.
Youssef was speaking during a visit to an affordable housing project in Dundee that was arranged shortly after he pulled out of a speech on independence in Glasgow.
He is fighting to maintain his position as First Minister after his former Green Party allies pledged to oppose him in a no-confidence motion brought by the Scottish Conservatives.
The vote is expected to take place next week. Mr Youssef will not have to step down if he loses the vote of confidence, but is expected to do so.
With Labor and the Lib Dems announcing they will join the Conservatives and Greens in voting against him, Mr Youssef's victory in the vote is not guaranteed and he may need the support of Ash Reagan in order to win by the narrowest of margins.
Ms Regan is a former Scottish National Party MSP, who was defeated by Mr Youssef in the party leadership contest last year before later defecting to Alex Salmond's ALBA party.
Youssef said at the time that it was “not a particularly big loss” and the BBC knew he would find it difficult to reach an arrangement with her.
Mrs Reagan – an outspoken critic of the Scottish Government's policies on transgender rights and its partnership with the Green Party – said she wanted to see progress on Scottish independence, competent government and championing “the rights of women and children” in return for her support.
In a letter to the First Minister which she also posted on social media, Mrs Regan said: “My door is open to discuss progress on the proposed Scottish Parliament powers referendum bill.”
Reagan's bill seeks to hold a referendum to ask the Scottish public whether Holyrood should have powers to negotiate and legislate for Scottish independence.
Labor also announced that it intends to hold a vote of no confidence in the Scottish government as a whole, which could lead to an election if successful.
There has been widespread discontent within the Green Party after the government dropped its 2030 climate target, and over the decision by the Scottish NHS to stop prescribing new puberty-blocking drugs for transgender young people.
The party was planning to ask its members whether it should continue its partnership with the SNP before Youssef made the decision to end it himself.
Youssef said ending the power-sharing agreement was the right thing to do, but he did not mean to upset or anger the Green Party.
Patrick Harvey, co-leader of the Scottish Greens, told the PA news agency on Friday that it was “pretty clear” Youssef had been unable to unite the Scottish Parliament.
Harvey said it was now up to the SNP to find a suitable leader, and Mr Youssef “needs to live with the consequences of this reckless and damaging decision” to scrap the deal with the Green Party just 48 hours after he said he had no intention of doing so. Finish it.
He added: “He still has not provided any clarity on why he made such a dramatic shift and broke the promise on which he was elected as First Minister.
“So it's very difficult to see how you can have a conversation that leads to a constructive outcome based on a lack of trust.”
Scottish Labor deputy leader Jackie Baillie said she believed Youssef was “done” regardless of the outcome of the confidence vote and said Scotland needed an election and not just a change of SNP leader.
“We are fed up,” she said. “It is not just Hamza Yousuf, but his entire government that has failed.”
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