Unless you're a member of the Bar of the Tax Court, the client would have to sign the petition. As you may know, however, once the Tax Court petition has been filed, the case would be assigned to an IRS Appeals Officer, and you could represent the taxpayer at that preliminary stage (under a Form 2848) without being a member of the Tax Court Bar. Chances could be reasonably good that the matter would get resolved at Appeals, so the case would never go to trial.
EDIT: And, as dave said, don't let the client get too close to the 90 day deadline before filing a Tax Court petition. A couple of years ago, I had a friend come to me, out of the blue, on the evening of "day 88" with a Notice of Deficiency. Wayyyyyy to close for comfort! I managed to get his petition mailed (certified mail, return receipt requested) on literally the last day. (It ended well, too. We turned an asserted deficiency of over $35,000 into a net tax refund of over $2,000.)