As Tellurian Inc. continues to reorganize its management team, it’s expanding the purview of its financial consultant to include selling equity in its LNG export project, or the entire company.

Houston-based Tellurian, which is developing the proposed Driftwood liquefied natural gas project in Louisiana, has undergone a series of major personnel and strategy changes since December that Executive Chairman Martin Houston said will help the firm focus “on delivering value for our shareholders and customers.”

Following the dismissal of co-founder and executive chairman Charif Souki late last year, the company hired Lazard Ltd. as a financial adviser to help it explore the sale of its upstream Haynesville assets and  fund development of Driftwood. In November, the company...