Adventurers League Player's Guide - Eberron Campaign | Ver 1.1 wrote:
Your 1st-level character is created using any race and class options in the Player’s Handbook, Xanathar’s Guide to Everything, and the Wayfinder’s Guide to Eberron. Bugbears, goblins, and hobgoblins from Volo’s Guide to Monsters are also available for use. No other resources are available—even if other campaign documentation (i.e., certs) otherwise allow it.
Adventurers League Player's Guide - Forgotten Realms Campaign | Ver 9.1 wrote:
Forgotten Realms characters can choose race and class options from the Player’s Handbook and one other resource—a rule called “PHB+1.” Additional resources include the following products:
•Elemental Evil Player’s Companion (EEPC)
•Sword Coast Adventurer’s Guide (SCAG)
•Volo’s Guide to Monsters (VGM)
•Xanathar’s Guide to Everything (XGE)1
•Mordenkainen’s Tome of Foes (ToF)2
Additionally, when selecting an additional source,the following variant or optional rules are available when you create your character:
•Variant Human Traits (PHB)
•Half-Elf and Tiefling Variants (SCAG/ToF)
•Option: Human Languages (SCAG)3
•Blessing of Corellon (ToF)3
NOTE: Races with flight at 1st level, and options from any resource other than those listed above aren’t available without specific campaign documentation (i.e., certs, etc.). Some Season 9 characters can develop wings at 5th level (see Appendix 2: Season 9 Characters).
1XGE also includes the “Tortle Package”
2Chapters 1 – 5, only
3Taking this option can be done, even if its source product isn’t your selection for PHB+1
The Artificer class is not legal for play in any Adventurers League modules that take place in the greater Forgotten Realms campaign. However, if any modules are being run that take place in the Eberron storyline, then yes, you'll have the option to play using the artificer class. When in doubt, consult the Adventurers League Player's Guide:
Take note that the most recent AL documentation refers to Wayfinder's Guide to Eberron rather than Rising from the Last War.