Regional Jet 200 ER/LR (CRJ200)
Flight Crew Air Transport Pilot (ATP)
Confusion; Distraction; Communication Breakdown
ATC Issue All Types
Air Traffic Control Provided Assistance; Flight Crew Requested ATC Assistance / Clarification
Procedure; Chart Or Publication; Human Factors
We were assigned to 'descend via' the  FNCHR RNAV STAR; landing North transition at MEM.  As we were descending we were vectored off the arrival; given a speed to fly and then cleared direct FNCHR; resume published speeds.  I then asked ATC what speed he wanted until we arrived at JESTI; which has a 250K restriction?  ATC stated that JESTI was not on the arrival for landing North; only if we were landing South.  The First Officer and had I talked about this; referring to our plates; and decided that we indeed needed to overfly with JESTI if we were on the landing North transition so; again; we asked ATC what speed he wanted us until JESTI as it was part of the landing North transition.  He again stated that JESTI was not to be overflown by us and that we were cleared for the landing North transition; not landing South.Again; we looked at our plates;and again agreed that we were doing it right and that indeed JESTI was part of our arrival so this time we asked him where he thought we should be flying. I can't remember exactly; but he again stated that JESTI should not be part of our route.  We again disagreed and that there is obviously a problem with either our arrival plates or his.  He told us that these are all new to everyone; but the problem was not on his side but our's.  That was the last of it and we continued via the arrival flying what we saw as correct and landed without incident.If you look at the FNCHR arrival; if you are landing South; you depart FNCHR for JAMLA at 230 kts; then a 095 degree heading after JAMLA....There are arrows on the chart depicting your 095 degree heading after JAMLA; and those arrows at a quick glance point to JESTI. Maybe the Controller saw those arrows and read JESTI as being part of the landing South transition.....Not really sure what he saw; but JESTI is definitely a fix to fly over only if you are landing to the North.
We [attempted to verify] with ATC that we were cleared via the FNCHR ONE arrival; North Transition and JESTI is one if our fixes. It went back and forth about three times that ATC told us JESTI was only a fix when landing south.
ATC and the flight crew of a CRJ200 descending on the FNCHR RNAV STAR to MEM were unable to come to agreement as to the cleared routing after FNCHR.