"The Supreme Court of Appeals can simply choose not to fully consider an appeal, leaving many parties with no recourse after unjust and biased trial verdicts," the group said on its website.
Thompson's resolution requires approval by both the House and State Senate before the study can begin. The Legislature's Joint Committee on Government and Finance would conduct the study.
Steve Roberts, president of the West Virginia Chamber of Commerce, also spoke at Wednesday's press conference and commended lawmakers for the study.
"What kind of a nation are we if we can't guarantee everyone a fair trial?" he said.
Roberts said the chamber's legal committee believes the process is working well, but there is no harm in getting input from all parties involved.
"I don't think anyone can argue with getting more information," he said.
Greg Thomas, executive director of West Virginians Citizens Against Lawsuit Abuse, said in a statement Wednesday afternoon that West Virginia is the only state without automatic right of appeal.
He said his group recently commissioned a statewide survey and found 57 percent of voters support the creation of an intermediate appellate court.
"Our personal injury lawyer House speaker, his friends in the House and a few lobbyists refuse to acknowledge that West Virginia needs to reform our legal system," Thomas wrote.
"The personal injury lawsuit industry loves to have a state where there is no automatic appeal. It puts a gun to the head of defendants to 'settle or else gamble on the decision of a lower court' on what may be very complicated legal issues, and it puts a fat wad of cash in the personal injury lawyers' pockets."