You can follow along here with the draft tracker:
https://www.nhl.com/nhl-draft/tracker
Flames currently hold the following picks:
CGY 2nd Round - 45th OA
CGY 3rd Round - 77th OA
EDM 3rd Round - 84th OA (acquired when NHL ruled that Edmonton had to give up a 3rd rounder to satisfy the conditions of the Lucic/Neal trade)
CGY 5th Round - 141st OA
CGY 6th Round - 173rd OA
CGY 7th Round - 205th OA
Flames traded away:
CGY 4th Round - 109th OA (trade to LAK for Forbort)
Best players left according to McKenzie
RK Player
23 Francesco Pinelli
24 Nikita Chibrikov
26 Daniil Chayka
27 Logan Stankoven
28 Aatu Raty
30 Samu Tuomaala
32 Simon Robertsson
36 Sasha Pastujov
37 Scott Morrow
38 Prokhor Poltapov
39 Jack Peart
41 William Stromgren
43 Tristan Broz
44 Samuel Helenius
45 Olen Zellwegger
46 Samu Salminen
47 Evan Nause
48 Ayrton Martino
49 Shai Buium
50 Sean Behrens
51 Anton Olsson
52 Oliver Kapanen
53 Stanislav Svozil
54 Alexander Kisakov
55 Conner Roulette
56 Aleksei Heimosalmi
57 Brett Harrison
58 Vincent Iorio
60 Artyom Grushnikov
61 Colton Dach
62 Matthew Knies
63 Ryan Winterton
64 Danila Klimovich
65 Roman Schmidt
66 Josh Doan
67 Cameron Whynot
68 Brent Johnson
69 Benjamin Gaudreau
70 Riley Kidney
71 Cole Huckins
72 Ilya Fedotov
73 Kirill Kirsanov
74 Olivier Nadeau
75 Ryder Korczak
76 Aidan Hreschuk
77 Ethan Del Mastro
78 Dylan Duke
79 Ville Koivunen
80 Justin Robidas
81 Guillaume Richard
82 Redmond Savage
83 Tristan Lennox
84 Topias Vilen
85 Aleksi Malinen
86 Jack Bar
87 Jayden Grubbe
88 Dmitri Kostenko
89 Ben Roger
90 Ryan Ufko
91 Dmitry Kuzmin
92 Matvei Petrov
93 William Trudeau
94 Oscar Plandowski
95 Zack Ostapchuk
96 Jack Matier
HM Haakon Hanelt
HM Ryan Mast
HM Sean Tschigerl
HM Joe Vrbetic