Otdfbt

I'm trying to replicate this picture (without the airplane)

I googled online and found the package drawstack but I couldn't find any documentation on how to use it. The closest I got to a minimal example is this:

documentclassarticle
usepackagegraphicx
usepackageenumitem
usepackageamsmath
setlengthparindent0pt
usepackagefloat
usepackagedrawstack

titletest
authorme
dateMay 2019

begindocument

maketitle

section*intro

begindrawstack
 cellticket (purchase)
 cellbaggage (check)
 cellgates (load)
 cellrunway (takeoff)
 cellairplane routing
enddrawstack

begindrawstack
 cellairplane routing
enddrawstack

begindrawstack
 cellairplane routing
enddrawstack

begindrawstack
 cellticket (complain)
 cellbaggage (claim)
 cellgates (unload)
 cellrunway (land)
 cellairplane routing
enddrawstack

enddocument

Which results in the following:

The result is obviously very far from what I wished as they're stacked on top of each other, I couldn't find a way to change the green color, I couldn't find a way to draw the arrow nor be able to write words that stay in place as the example I'm trying to replicate. Even though the example given is built using drawstack package, I wouldn't mind a solution using TiKz.

TiKZ could be an alternative to drawstack.

documentclass[tikz, border=2mm]standalone
usetikzlibrarymatrix,positioning
usepackagelmodern
usepackagefontawesome5


begindocument
begintikzpicture[
 level/.style=draw, minimum width=3cm, minimum height=8mm,
 stack/.style=matrix of nodes, nodes=level, row sep=-pgflinewidth,
 ]

 matrix[stack, label=[font=small, align=center, name=aux1]below:departure\ airport,
 label=[font=Large, name=p1]above:faPlaneDeparture] (stackleft)
 ticket (purchase) \
 baggage (check) \
 gates (load) \
 runway (takeoff) \
 airplane routing \;

 node[level, right= of stackleft-5-1] (ar1) airplane routing;
 node[level, right=of ar1] (ar2) airplane routing;

 matrix[stack, label=[font=small, align=center, name=aux2]below:arrival\ airport, 
 label=[font=Large, name=p2]above:faPlaneArrival,
 right=of ar2, anchor=stackright-5-1.west ] (stackright)
 ticket (complain) \
 baggage (claim) \
 gates (unload) \
 runway (land) \
 airplane routing \;

 node[font=Large] at (p1-|ar1) faPlane;
 node[font=Large] at (p1-|ar2) faPlane;

 path (aux1)--node[align=center, font=small]intermediate air-traffic\ control centers (aux2);

 draw[blue, very thick, ->] (stackleft.north west)--(stackleft.west|-aux1)--(aux1.south)--(aux2.south)--(stackright.east|-aux2)--(stackright.north east);
endtikzpicture
enddocument

drawstack is poorly document package and consequently not very useful for your needs. better is to use pure tikz. with multi part node from the shapes.multipart library you can write:

documentclass[tikz, margin=3mm]standalone
usetikzlibraryarrows.meta,
 calc,
 positioning,
 shapes.multipart

begindocument
 begintikzpicture[
node distance = 3mm and 4mm,
base/.style = minimum width=32mm, node font=sffamily, align=center,
VMPN/.style = % Vertical Multi Part Node
 rectangle split, rectangle split parts=5,
 draw,
 box/.style = base, draw
 ]
node (n1) [VMPN]
 nodepartone purchase (complain)
 nodeparttwo baggage (claim)
 nodepartthree gates (unload)
 nodepartfour runway (land)
 nodepartfive airplane routing
 ;
node (n2) [box, right=of n1.five east] airplane routing;
node (n3) [box, right=of n2] airplane routing;
node (n4) [VMPN, above right=0mm and 4mm of n3.south east]
 nodepartone purchase (complain)
 nodeparttwo baggage (claim)
 nodepartthree gates (unload)
 nodepartfour runway (land)
 nodepartfive airplane routing
 ;
node [above=of $(n2.north)!0.5!(n3.north)$]
 includegraphics[width=32mm]example-image-duck;
%
node (n11) [base, below=of n1] departure airport;
node (n12) [base, below=of $(n2.south)!0.5!(n3.south)$]
 intermediate air-trafic\control centers;
node (n131) [base, below=of n4] arrival airport;
%
draw[blue!50!black, ultra thick, rounded corners=4mm, -Triangle[angle=60:3pt 3]]
 ([xshift=-3mm] n1.north west) |- ([yshift=-3mm] n12.south) -|
 ([xshift= 3mm] n4.north east);
 endtikzpicture
enddocument