The accelerator pedal feels overly stiff on my 300CE. Is there a way to lubricate the cable and assembly?

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1989 300CE

The cable, no, but that likely isn't the problem. You should remove the airbox and spray all of the pivot points and linkages with penetrating oil before evaluating the cable.

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90 300TE 4-M
Turbo 103, T3/T04E 50 trim
T04B cover .60 AR
Stage 3 turbine .63 AR
A2W I/C, 40 LB/HR
MS2E, 60-2 Direct Coil Control
3" Exh, AEM W/B O2
Underdrive Alt. and P/S Pulleys,
Vented Rear Discs, .034 Booster.
3.07 diffs 1st Gear Start

90 300CE 104.980
Milled & ported head, 10.3:1 compression
197° intake cam w/20° advancer
Tuned CIS ECU
4° ignition advance
PCS TCM2000, built 722.6
600W networked suction fan
Sportline sway bars
V8 rear subframe, Quaife ATB 3.06 diff

^x2
It will eventually get to where the throttle will stay as far down as you press it without the cruise control being on during the first few miles until things heat up under there.

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Jim