"We look forward to participation in projects in Iran after the sanctions are fully removed", Tass quoted Maganov as saying.
He said that the Anaran project is Lukoil's priority in Iran but the company is also interested in other projects.
"We are studying geological data on other projects as well", he said.
The Anaran oilfield is located on the Iran-Iraq border.
Lukoil started working on the Anaran block in 2003 but was forced to pull out after economic sanctions had been imposed on Iran.
In November 2014, Lukoil's Chief Vagit Alekperov said that the company wants to return to the Anaran project in Iran, if possible, after sanctions are lifted.
"In our time, we discovered the Anaran oilfield on the Iranian-Iraqi border. Together with a Norwegian firm, we would like to return to this deposit. We know its geology and infrastructure," Alekperov said.
Iran and six world powers reached a framework agreement on Tehran's nuclear program after intensive negotiations in Switzerland, with both sides committed to push for a final, comprehensive accord until the end of June.
The framework provides a series of solutions to the differences that will be the basis of a comprehensive joint plan of action.
According to the framework agreement, the nuclear-related sanctions imposed on Iran by the United Nations Security Council, the European Union and the US will be removed.