If Le Pen wins the presidency she would have to reach out far beyond her party even to achieve a relative parliamentary majority.
Investors have always been anxious about election frontrunner Marine Le Pen, leader of the far-right National Front, who has promised a referendum on whether to quit the European Union and ditch the euro.
A petrol bomb has been thrown at the building housing French far-right presidential candidate Marine Le Pen's campaign headquarters, Paris police said.
"From the moment I implement intelligent protectionism that will fight against unfair global competition, it will turn the economy around", Le Pen was quoted as saying, adding that growth will be accompanied by an increase in purchasing power.
Le Pen is accused of using her parliamentary aides for party activities at the expense of the EU.
The request for waiving Le Pen's parliamentary immunity was filed in the European Parliament in late March.
In an interview with Le Point magazine published on Wednesday, Hollande kept silent about his choice, saying he would endorse a candidate before the second round of the election. The parliament did not comment on the move Friday but several procedural steps are still required before the legislature might hold a vote on it.
"I'm not asking you to love me - I'm asking you to support me, because it's in France's interest", he told the crowds.
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"I am my own strategist". (Kilmeade) It seems as though Steve Bannon might be getting a brush back pitch or be shown the door. The unusual public, lukewarm support from the boss has Bannon's friends and advisers anxious he will soon be out of a job.
Le Pen's bodyguard Thierry Legier was also questioned by investigators but was not charged.
There is of course a big hurdle to be passed when French voters place their first vote on April 23 - but with the focus shifted two weeks earlier, some of the relief rally that would follow a centrist win could come sooner than expected.
The European Parliament last month lifted her immunity in another investigation, over tweeting gruesome images of Islamic State violence.
A strong performance by a candidate who wants a referendum on France's membership of the European Union could unnerve financial markets, anxious by the prospect of another upset after Britons voted to leave the EU past year.
Le Pen said Friday on Francetvinfo that it's "the normal procedure".
The two first round leaders will go through to a decisive run-off on 7 May. The company said Thursday it is taking action against those accounts and is removing sites with the highest traffic.
Melenchon's rise is also worrying French President Francois Hollande, a moderate Socialist who's so unpopular that he is not running for re-election.