"That's the sensible position," Reuters quoted Christian Jacob, head of the Republicans party, as saying.
He was echoed by Marie-Christine Dalloz of the Republicans party, who is also member of the Parliamentary Assembly of the Council of Europe.
"Our party exressed a wish to discuss the lifting of the sanctions against Russia. I believe that it is a logical step aimed at developing bilateral partnership, " Dalloz pointed out.
The remarks came in the run-up to a visit by Hollande to Moscow, where he is due to meet Russian President Vladimir Putin later this week.
The Republicans is the party of the former French President Nicolas Sarkozy,who has repeatedly called for a more conciliatory approach towards Russia.
Earlier this month, Eckhard Cordes, head of the German Committee on Eastern Economic Relations, also clamored for the end of economic sanctions against Russia. According to the economist, the sanctions "deeply" affected the German economy with the trade volume between the two countries almost halving compared with the previous year.
In response, Moscow has imposed an embargo on food imports from the countries that sanctioned it in retaliation.
Since September 30, Russia has been conducting airstrikes against ISIL militants in Syria at the request of Syrian President Bashar Assad, while a US-led international coalition has been targeting ISIL positions in the country without the permission of Damascus or the United Nations.