Ms. Rosander conceded that a potential appeal to the ECHR could delay the extradition process further.
Not complying with the ECHR could lead to thousands of compensation claims by prisoners.
The Council of Europe - the body that oversees the ECHR - is more specific.
Mrs May dismissed the criticism, telling MPs that the government had been in contact with the ECHR.
The four had made individual applications to the ECHR after losing separate employment tribunals but their cases were heard together.
BBC: British Airways Christian employee Nadia Eweida wins case
In 2005, the ECHR, which is not an institution of the European Union, ruled the ban unlawful.
The Vatican said it was "shocked" by the ECHR's ruling, which sparked anger in the largely Catholic country.
The three plan to ask for their cases to go to appeal to the Grand Chamber of the ECHR.
BBC: British Airways Christian employee Nadia Eweida wins case
He quipped that there was more chance of the Red Sea parting than of the ECHR changing its mind.
His family told the ECHR that he was taken to an unknown destination.
The coalition subsequently indicated it would respect Parliament's wishes by doing the minimum needed to comply with the ECHR ruling.
He said it was a "parliamentary issue" which would set a precedent for every time the ECHR "extends beyond its remit".
Different cases brought to the Court by citizens of SEE countries could be seen at the ECHR internet address, stated above.
Gareth Peirce, another lawyer for Mr. Assange, said the legal team hadn't made a decision yet on whether to lodge an ECHR appeal.
The UK-based Emirates Centre for Human Rights (ECHR) said Mr Zumer was driving a car in Sharjah when it was stopped by security personnel.
Labour shadow minister Andy Burnham told the BBC's Daily Politics his party would back the government if it were to challenge the ECHR's decision.
Responding to Mr Grayling's comments, Liberal Democrat deputy leader Simon Hughes told the BBC the ECHR was a "benchmark of human rights around the world".
Asked if this could mean withdrawing from the European Convention on Human Rights (ECHR), Mr Grayling told the BBC he had "not ruled anything out".
Every Act in the Scottish Parliament has got to be ECHR-proof.
It technically meets - or so ministers hope - the ECHR's deadline by publishing legislation that potentially could end up watering down the blanket ban.
But ministers' actions have been thrown into doubt after the ECHR said it was considering an appeal lodged by the cleric's legal team after his arrest.
The previous government had been considering the issue since the European Court of Human Rights (ECHR) ruled in March 2004 that a blanket ban was unlawful.
British Lib Dem MEP Sarah Ludford drew attention to a briefing given to UK MEPs stating that the UK government was "fully committed" to EU accession to ECHR.
The key question is whether or not the ECHR thinks that a parliamentary decision is enough to get the UK off the hook, or whether it is irrelevant.
The government's decision to introduce a draft bill would probably be challenged by a disenfranchised prisoner and the ECHR would have to decide whether to rule on that.
Mrs May said she had written to the ECHR to argue Abu Qatada's application should be rejected and the case heard by the UK's Special Immigration Appeals Commission instead.
The Irish Republic has until 30 November to respond to the European Court of Human Rights (ECHR) ruling on a case that prompted the formation of the abortion expert advisory group.
Abu Qatada was arrested on Tuesday after the government believed the period of opportunity for him to appeal against a European Court of Human Rights (ECHR) ruling on his deportation had ended.
In February, Mr Justice Beatson at the High Court ruled that the order unlawfully deprived E of his liberty, in contravention of Article 5 of the European Convention on Human Rights (ECHR).
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